Finding the Third Proportional to 125,214 and 278,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,214 : 278,419.50 = 278,419.50 : x
2. Step 2: Convert to fraction form
   125,214/278,419.50 = 278,419.50/x
3. Step 3: Cross multiply
   125,214x = 278,419.50 × 278,419.50
4. Step 4: Simplify right side
   125,214x = 77,517,417,980.25
5. Step 5: Solve for x
   x = 77,517,417,980.25/125,214
6. Step 6: Final answer
   x = 619,079.48