Finding the Third Proportional to 147,584 and 215,566

Step by Step Solution

1. Step 1: Write the proportion equation
   147,584 : 215,566 = 215,566 : x
2. Step 2: Convert to fraction form
   147,584/215,566 = 215,566/x
3. Step 3: Cross multiply
   147,584x = 215,566 × 215,566
4. Step 4: Simplify right side
   147,584x = 46,468,700,356
5. Step 5: Solve for x
   x = 46,468,700,356/147,584
6. Step 6: Final answer
   x = 314,862.72