Finding the Third Proportional to 102,202.50 and 150,000

Step by Step Solution

1. Step 1: Write the proportion equation
   102,202.50 : 150,000 = 150,000 : x
2. Step 2: Convert to fraction form
   102,202.50/150,000 = 150,000/x
3. Step 3: Cross multiply
   102,202.50x = 150,000 × 150,000
4. Step 4: Simplify right side
   102,202.50x = 22,500,000,000
5. Step 5: Solve for x
   x = 22,500,000,000/102,202.50
6. Step 6: Final answer
   x = 220,151.17