Finding the Third Proportional to 81,301.50 and 127,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,301.50 : 127,705.50 = 127,705.50 : x
2. Step 2: Convert to fraction form
   81,301.50/127,705.50 = 127,705.50/x
3. Step 3: Cross multiply
   81,301.50x = 127,705.50 × 127,705.50
4. Step 4: Simplify right side
   81,301.50x = 16,308,694,730.25
5. Step 5: Solve for x
   x = 16,308,694,730.25/81,301.50
6. Step 6: Final answer
   x = 200,595.25