Finding the Third Proportional to 152,413 and 231,659

Step by Step Solution

1. Step 1: Write the proportion equation
   152,413 : 231,659 = 231,659 : x
2. Step 2: Convert to fraction form
   152,413/231,659 = 231,659/x
3. Step 3: Cross multiply
   152,413x = 231,659 × 231,659
4. Step 4: Simplify right side
   152,413x = 53,665,892,281
5. Step 5: Solve for x
   x = 53,665,892,281/152,413
6. Step 6: Final answer
   x = 352,108.37