Finding the Third Proportional to 99,792 and 215,409

Step by Step Solution

1. Step 1: Write the proportion equation
   99,792 : 215,409 = 215,409 : x
2. Step 2: Convert to fraction form
   99,792/215,409 = 215,409/x
3. Step 3: Cross multiply
   99,792x = 215,409 × 215,409
4. Step 4: Simplify right side
   99,792x = 46,401,037,281
5. Step 5: Solve for x
   x = 46,401,037,281/99,792
6. Step 6: Final answer
   x = 464,977.53