Finding the Third Proportional to 157,535 and 345,687.50

Step by Step Solution

1. Step 1: Write the proportion equation
   157,535 : 345,687.50 = 345,687.50 : x
2. Step 2: Convert to fraction form
   157,535/345,687.50 = 345,687.50/x
3. Step 3: Cross multiply
   157,535x = 345,687.50 × 345,687.50
4. Step 4: Simplify right side
   157,535x = 119,499,847,656.25
5. Step 5: Solve for x
   x = 119,499,847,656.25/157,535
6. Step 6: Final answer
   x = 758,560.62