Finding the Third Proportional to 157,512 and 345,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   157,512 : 345,643.50 = 345,643.50 : x
2. Step 2: Convert to fraction form
   157,512/345,643.50 = 345,643.50/x
3. Step 3: Cross multiply
   157,512x = 345,643.50 × 345,643.50
4. Step 4: Simplify right side
   157,512x = 119,469,429,092.25
5. Step 5: Solve for x
   x = 119,469,429,092.25/157,512
6. Step 6: Final answer
   x = 758,478.27