Finding the Third Proportional to 1,424,213,216,948 and 1,921,598,027,148

Step by Step Solution

1. Step 1: Write the proportion equation
   1,424,213,216,948 : 1,921,598,027,148 = 1,921,598,027,148 : x
2. Step 2: Convert to fraction form
   1,424,213,216,948/1,921,598,027,148 = 1,921,598,027,148/x
3. Step 3: Cross multiply
   1,424,213,216,948x = 1,921,598,027,148 × 1,921,598,027,148
4. Step 4: Simplify right side
   1,424,213,216,948x = 3,692,538,977,939,085,787,660,288
5. Step 5: Solve for x
   x = 3,692,538,977,939,085,787,660,288/1,424,213,216,948
6. Step 6: Final answer
   x = 2,592,686,919,344.82