Finding the Third Proportional to 96,948 and 213,012

Step by Step Solution

1. Step 1: Write the proportion equation
   96,948 : 213,012 = 213,012 : x
2. Step 2: Convert to fraction form
   96,948/213,012 = 213,012/x
3. Step 3: Cross multiply
   96,948x = 213,012 × 213,012
4. Step 4: Simplify right side
   96,948x = 45,374,112,144
5. Step 5: Solve for x
   x = 45,374,112,144/96,948
6. Step 6: Final answer
   x = 468,025.25