Finding the Third Proportional to 82,964.25 and 127,564.88

Step by Step Solution

1. Step 1: Write the proportion equation
   82,964.25 : 127,564.88 = 127,564.88 : x
2. Step 2: Convert to fraction form
   82,964.25/127,564.88 = 127,564.88/x
3. Step 3: Cross multiply
   82,964.25x = 127,564.88 × 127,564.88
4. Step 4: Simplify right side
   82,964.25x = 16,272,797,333.77
5. Step 5: Solve for x
   x = 16,272,797,333.77/82,964.25
6. Step 6: Final answer
   x = 196,142.28