Finding the Third Proportional to 126,746 and 278,277.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,746 : 278,277.50 = 278,277.50 : x
2. Step 2: Convert to fraction form
   126,746/278,277.50 = 278,277.50/x
3. Step 3: Cross multiply
   126,746x = 278,277.50 × 278,277.50
4. Step 4: Simplify right side
   126,746x = 77,438,367,006.25
5. Step 5: Solve for x
   x = 77,438,367,006.25/126,746
6. Step 6: Final answer
   x = 610,972.87