Finding the Third Proportional to 127,048.50 and 185,798.25

Step by Step Solution

1. Step 1: Write the proportion equation
   127,048.50 : 185,798.25 = 185,798.25 : x
2. Step 2: Convert to fraction form
   127,048.50/185,798.25 = 185,798.25/x
3. Step 3: Cross multiply
   127,048.50x = 185,798.25 × 185,798.25
4. Step 4: Simplify right side
   127,048.50x = 34,520,989,703.06
5. Step 5: Solve for x
   x = 34,520,989,703.06/127,048.50
6. Step 6: Final answer
   x = 271,715.05