Finding the Third Proportional to 82,745 and 127,862.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,745 : 127,862.50 = 127,862.50 : x
2. Step 2: Convert to fraction form
   82,745/127,862.50 = 127,862.50/x
3. Step 3: Cross multiply
   82,745x = 127,862.50 × 127,862.50
4. Step 4: Simplify right side
   82,745x = 16,348,818,906.25
5. Step 5: Solve for x
   x = 16,348,818,906.25/82,745
6. Step 6: Final answer
   x = 197,580.75