Finding the Third Proportional to 157,834 and 337,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   157,834 : 337,872.50 = 337,872.50 : x
2. Step 2: Convert to fraction form
   157,834/337,872.50 = 337,872.50/x
3. Step 3: Cross multiply
   157,834x = 337,872.50 × 337,872.50
4. Step 4: Simplify right side
   157,834x = 114,157,826,256.25
5. Step 5: Solve for x
   x = 114,157,826,256.25/157,834
6. Step 6: Final answer
   x = 723,277.79