Finding the Third Proportional to 1,021,194 and 1,431,018

Step by Step Solution

1. Step 1: Write the proportion equation
   1,021,194 : 1,431,018 = 1,431,018 : x
2. Step 2: Convert to fraction form
   1,021,194/1,431,018 = 1,431,018/x
3. Step 3: Cross multiply
   1,021,194x = 1,431,018 × 1,431,018
4. Step 4: Simplify right side
   1,021,194x = 2,047,812,516,324
5. Step 5: Solve for x
   x = 2,047,812,516,324/1,021,194
6. Step 6: Final answer
   x = 2,005,311.94