Finding the Third Proportional to 99,616 and 215,828

Step by Step Solution

1. Step 1: Write the proportion equation
   99,616 : 215,828 = 215,828 : x
2. Step 2: Convert to fraction form
   99,616/215,828 = 215,828/x
3. Step 3: Cross multiply
   99,616x = 215,828 × 215,828
4. Step 4: Simplify right side
   99,616x = 46,581,725,584
5. Step 5: Solve for x
   x = 46,581,725,584/99,616
6. Step 6: Final answer
   x = 467,612.89