Finding the Third Proportional to 124,584 and 292,480.50

Step by Step Solution

1. Step 1: Write the proportion equation
   124,584 : 292,480.50 = 292,480.50 : x
2. Step 2: Convert to fraction form
   124,584/292,480.50 = 292,480.50/x
3. Step 3: Cross multiply
   124,584x = 292,480.50 × 292,480.50
4. Step 4: Simplify right side
   124,584x = 85,544,842,880.25
5. Step 5: Solve for x
   x = 85,544,842,880.25/124,584
6. Step 6: Final answer
   x = 686,643.89