Finding the Third Proportional to 99,697.50 and 216,000

Step by Step Solution

1. Step 1: Write the proportion equation
   99,697.50 : 216,000 = 216,000 : x
2. Step 2: Convert to fraction form
   99,697.50/216,000 = 216,000/x
3. Step 3: Cross multiply
   99,697.50x = 216,000 × 216,000
4. Step 4: Simplify right side
   99,697.50x = 46,656,000,000
5. Step 5: Solve for x
   x = 46,656,000,000/99,697.50
6. Step 6: Final answer
   x = 467,975.63