Finding the Third Proportional to 392,140 and 586,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   392,140 : 586,648.50 = 586,648.50 : x
2. Step 2: Convert to fraction form
   392,140/586,648.50 = 586,648.50/x
3. Step 3: Cross multiply
   392,140x = 586,648.50 × 586,648.50
4. Step 4: Simplify right side
   392,140x = 344,156,462,552.25
5. Step 5: Solve for x
   x = 344,156,462,552.25/392,140
6. Step 6: Final answer
   x = 877,636.72