Finding the Third Proportional to 100,527 and 216,499

Step by Step Solution

1. Step 1: Write the proportion equation
   100,527 : 216,499 = 216,499 : x
2. Step 2: Convert to fraction form
   100,527/216,499 = 216,499/x
3. Step 3: Cross multiply
   100,527x = 216,499 × 216,499
4. Step 4: Simplify right side
   100,527x = 46,871,817,001
5. Step 5: Solve for x
   x = 46,871,817,001/100,527
6. Step 6: Final answer
   x = 466,260.97