Finding the Third Proportional to 100,515 and 155,497.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,515 : 155,497.50 = 155,497.50 : x
2. Step 2: Convert to fraction form
   100,515/155,497.50 = 155,497.50/x
3. Step 3: Cross multiply
   100,515x = 155,497.50 × 155,497.50
4. Step 4: Simplify right side
   100,515x = 24,179,472,506.25
5. Step 5: Solve for x
   x = 24,179,472,506.25/100,515
6. Step 6: Final answer
   x = 240,555.86