Finding the Third Proportional to 60,724 and 147,586

Step by Step Solution

1. Step 1: Write the proportion equation
   60,724 : 147,586 = 147,586 : x
2. Step 2: Convert to fraction form
   60,724/147,586 = 147,586/x
3. Step 3: Cross multiply
   60,724x = 147,586 × 147,586
4. Step 4: Simplify right side
   60,724x = 21,781,627,396
5. Step 5: Solve for x
   x = 21,781,627,396/60,724
6. Step 6: Final answer
   x = 358,698.82