Finding the Third Proportional to 81,738 and 127,345.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,738 : 127,345.50 = 127,345.50 : x
2. Step 2: Convert to fraction form
   81,738/127,345.50 = 127,345.50/x
3. Step 3: Cross multiply
   81,738x = 127,345.50 × 127,345.50
4. Step 4: Simplify right side
   81,738x = 16,216,876,370.25
5. Step 5: Solve for x
   x = 16,216,876,370.25/81,738
6. Step 6: Final answer
   x = 198,400.70