Finding the Third Proportional to 126,259 and 292,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,259 : 292,322.50 = 292,322.50 : x
2. Step 2: Convert to fraction form
   126,259/292,322.50 = 292,322.50/x
3. Step 3: Cross multiply
   126,259x = 292,322.50 × 292,322.50
4. Step 4: Simplify right side
   126,259x = 85,452,444,006.25
5. Step 5: Solve for x
   x = 85,452,444,006.25/126,259
6. Step 6: Final answer
   x = 676,802.79