Finding the Third Proportional to 127,874.50 and 278,645

Step by Step Solution

1. Step 1: Write the proportion equation
   127,874.50 : 278,645 = 278,645 : x
2. Step 2: Convert to fraction form
   127,874.50/278,645 = 278,645/x
3. Step 3: Cross multiply
   127,874.50x = 278,645 × 278,645
4. Step 4: Simplify right side
   127,874.50x = 77,643,036,025
5. Step 5: Solve for x
   x = 77,643,036,025/127,874.50
6. Step 6: Final answer
   x = 607,181.54