Finding the Third Proportional to 103,834 and 157,803.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,834 : 157,803.50 = 157,803.50 : x
2. Step 2: Convert to fraction form
   103,834/157,803.50 = 157,803.50/x
3. Step 3: Cross multiply
   103,834x = 157,803.50 × 157,803.50
4. Step 4: Simplify right side
   103,834x = 24,901,944,612.25
5. Step 5: Solve for x
   x = 24,901,944,612.25/103,834
6. Step 6: Final answer
   x = 239,824.57