Finding the Third Proportional to 102,758 and 157,052.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,758 : 157,052.50 = 157,052.50 : x
2. Step 2: Convert to fraction form
   102,758/157,052.50 = 157,052.50/x
3. Step 3: Cross multiply
   102,758x = 157,052.50 × 157,052.50
4. Step 4: Simplify right side
   102,758x = 24,665,487,756.25
5. Step 5: Solve for x
   x = 24,665,487,756.25/102,758
6. Step 6: Final answer
   x = 240,034.72