Finding the Third Proportional to 127,542 and 278,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,542 : 278,047.50 = 278,047.50 : x
2. Step 2: Convert to fraction form
   127,542/278,047.50 = 278,047.50/x
3. Step 3: Cross multiply
   127,542x = 278,047.50 × 278,047.50
4. Step 4: Simplify right side
   127,542x = 77,310,412,256.25
5. Step 5: Solve for x
   x = 77,310,412,256.25/127,542
6. Step 6: Final answer
   x = 606,156.50