Finding the Third Proportional to 99,344 and 215,507

Step by Step Solution

1. Step 1: Write the proportion equation
   99,344 : 215,507 = 215,507 : x
2. Step 2: Convert to fraction form
   99,344/215,507 = 215,507/x
3. Step 3: Cross multiply
   99,344x = 215,507 × 215,507
4. Step 4: Simplify right side
   99,344x = 46,443,267,049
5. Step 5: Solve for x
   x = 46,443,267,049/99,344
6. Step 6: Final answer
   x = 467,499.47