Finding the Third Proportional to 82,606.50 and 127,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,606.50 : 127,642.50 = 127,642.50 : x
2. Step 2: Convert to fraction form
   82,606.50/127,642.50 = 127,642.50/x
3. Step 3: Cross multiply
   82,606.50x = 127,642.50 × 127,642.50
4. Step 4: Simplify right side
   82,606.50x = 16,292,607,806.25
5. Step 5: Solve for x
   x = 16,292,607,806.25/82,606.50
6. Step 6: Final answer
   x = 197,231.55