Finding the Third Proportional to 152,553 and 315,714

Step by Step Solution

1. Step 1: Write the proportion equation
   152,553 : 315,714 = 315,714 : x
2. Step 2: Convert to fraction form
   152,553/315,714 = 315,714/x
3. Step 3: Cross multiply
   152,553x = 315,714 × 315,714
4. Step 4: Simplify right side
   152,553x = 99,675,329,796
5. Step 5: Solve for x
   x = 99,675,329,796/152,553
6. Step 6: Final answer
   x = 653,381.64