Finding the Third Proportional to 98,664 and 215,784

Step by Step Solution

1. Step 1: Write the proportion equation
   98,664 : 215,784 = 215,784 : x
2. Step 2: Convert to fraction form
   98,664/215,784 = 215,784/x
3. Step 3: Cross multiply
   98,664x = 215,784 × 215,784
4. Step 4: Simplify right side
   98,664x = 46,562,734,656
5. Step 5: Solve for x
   x = 46,562,734,656/98,664
6. Step 6: Final answer
   x = 471,932.36