Finding the Third Proportional to 126,387 and 278,194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,387 : 278,194.50 = 278,194.50 : x
2. Step 2: Convert to fraction form
   126,387/278,194.50 = 278,194.50/x
3. Step 3: Cross multiply
   126,387x = 278,194.50 × 278,194.50
4. Step 4: Simplify right side
   126,387x = 77,392,179,830.25
5. Step 5: Solve for x
   x = 77,392,179,830.25/126,387
6. Step 6: Final answer
   x = 612,342.88