Finding the Third Proportional to 99,314 and 216,468

Step by Step Solution

1. Step 1: Write the proportion equation
   99,314 : 216,468 = 216,468 : x
2. Step 2: Convert to fraction form
   99,314/216,468 = 216,468/x
3. Step 3: Cross multiply
   99,314x = 216,468 × 216,468
4. Step 4: Simplify right side
   99,314x = 46,858,395,024
5. Step 5: Solve for x
   x = 46,858,395,024/99,314
6. Step 6: Final answer
   x = 471,820.64