Finding the Third Proportional to 102,570 and 155,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,570 : 155,269.50 = 155,269.50 : x
2. Step 2: Convert to fraction form
   102,570/155,269.50 = 155,269.50/x
3. Step 3: Cross multiply
   102,570x = 155,269.50 × 155,269.50
4. Step 4: Simplify right side
   102,570x = 24,108,617,630.25
5. Step 5: Solve for x
   x = 24,108,617,630.25/102,570
6. Step 6: Final answer
   x = 235,045.51