Finding the Third Proportional to 100,658 and 155,657.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,658 : 155,657.50 = 155,657.50 : x
2. Step 2: Convert to fraction form
   100,658/155,657.50 = 155,657.50/x
3. Step 3: Cross multiply
   100,658x = 155,657.50 × 155,657.50
4. Step 4: Simplify right side
   100,658x = 24,229,257,306.25
5. Step 5: Solve for x
   x = 24,229,257,306.25/100,658
6. Step 6: Final answer
   x = 240,708.71