Finding the Third Proportional to 82,957.50 and 127,584

Step by Step Solution

1. Step 1: Write the proportion equation
   82,957.50 : 127,584 = 127,584 : x
2. Step 2: Convert to fraction form
   82,957.50/127,584 = 127,584/x
3. Step 3: Cross multiply
   82,957.50x = 127,584 × 127,584
4. Step 4: Simplify right side
   82,957.50x = 16,277,677,056
5. Step 5: Solve for x
   x = 16,277,677,056/82,957.50
6. Step 6: Final answer
   x = 196,217.06