Finding the Third Proportional to 127,638 and 271,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,638 : 271,417.50 = 271,417.50 : x
2. Step 2: Convert to fraction form
   127,638/271,417.50 = 271,417.50/x
3. Step 3: Cross multiply
   127,638x = 271,417.50 × 271,417.50
4. Step 4: Simplify right side
   127,638x = 73,667,459,306.25
5. Step 5: Solve for x
   x = 73,667,459,306.25/127,638
6. Step 6: Final answer
   x = 577,159.30