Finding the Third Proportional to 82,948 and 127,494

Step by Step Solution

1. Step 1: Write the proportion equation
   82,948 : 127,494 = 127,494 : x
2. Step 2: Convert to fraction form
   82,948/127,494 = 127,494/x
3. Step 3: Cross multiply
   82,948x = 127,494 × 127,494
4. Step 4: Simplify right side
   82,948x = 16,254,720,036
5. Step 5: Solve for x
   x = 16,254,720,036/82,948
6. Step 6: Final answer
   x = 195,962.77