Finding the Third Proportional to 99,406.50 and 213,645

Step by Step Solution

1. Step 1: Write the proportion equation
   99,406.50 : 213,645 = 213,645 : x
2. Step 2: Convert to fraction form
   99,406.50/213,645 = 213,645/x
3. Step 3: Cross multiply
   99,406.50x = 213,645 × 213,645
4. Step 4: Simplify right side
   99,406.50x = 45,644,186,025
5. Step 5: Solve for x
   x = 45,644,186,025/99,406.50
6. Step 6: Final answer
   x = 459,167.02