Finding the Third Proportional to 102,225 and 155,182.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,225 : 155,182.50 = 155,182.50 : x
2. Step 2: Convert to fraction form
   102,225/155,182.50 = 155,182.50/x
3. Step 3: Cross multiply
   102,225x = 155,182.50 × 155,182.50
4. Step 4: Simplify right side
   102,225x = 24,081,608,306.25
5. Step 5: Solve for x
   x = 24,081,608,306.25/102,225
6. Step 6: Final answer
   x = 235,574.55