Finding the Third Proportional to 126,441 and 292,718.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,441 : 292,718.50 = 292,718.50 : x
2. Step 2: Convert to fraction form
   126,441/292,718.50 = 292,718.50/x
3. Step 3: Cross multiply
   126,441x = 292,718.50 × 292,718.50
4. Step 4: Simplify right side
   126,441x = 85,684,120,242.25
5. Step 5: Solve for x
   x = 85,684,120,242.25/126,441
6. Step 6: Final answer
   x = 677,660.89