Finding the Third Proportional to 82,744.50 and 127,861.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,744.50 : 127,861.50 = 127,861.50 : x
2. Step 2: Convert to fraction form
   82,744.50/127,861.50 = 127,861.50/x
3. Step 3: Cross multiply
   82,744.50x = 127,861.50 × 127,861.50
4. Step 4: Simplify right side
   82,744.50x = 16,348,563,182.25
5. Step 5: Solve for x
   x = 16,348,563,182.25/82,744.50
6. Step 6: Final answer
   x = 197,578.85