Finding the Third Proportional to 102,206.81 and 155,155.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,206.81 : 155,155.50 = 155,155.50 : x
2. Step 2: Convert to fraction form
   102,206.81/155,155.50 = 155,155.50/x
3. Step 3: Cross multiply
   102,206.81x = 155,155.50 × 155,155.50
4. Step 4: Simplify right side
   102,206.81x = 24,073,229,180.25
5. Step 5: Solve for x
   x = 24,073,229,180.25/102,206.81
6. Step 6: Final answer
   x = 235,534.49