Finding the Third Proportional to 103,909.50 and 157,504.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,909.50 : 157,504.50 = 157,504.50 : x
2. Step 2: Convert to fraction form
   103,909.50/157,504.50 = 157,504.50/x
3. Step 3: Cross multiply
   103,909.50x = 157,504.50 × 157,504.50
4. Step 4: Simplify right side
   103,909.50x = 24,807,667,520.25
5. Step 5: Solve for x
   x = 24,807,667,520.25/103,909.50
6. Step 6: Final answer
   x = 238,743.02