Finding the Third Proportional to 103,626 and 157,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,626 : 157,464.50 = 157,464.50 : x
2. Step 2: Convert to fraction form
   103,626/157,464.50 = 157,464.50/x
3. Step 3: Cross multiply
   103,626x = 157,464.50 × 157,464.50
4. Step 4: Simplify right side
   103,626x = 24,795,068,760.25
5. Step 5: Solve for x
   x = 24,795,068,760.25/103,626
6. Step 6: Final answer
   x = 239,274.59