Finding the Third Proportional to 82,908 and 127,506

Step by Step Solution

1. Step 1: Write the proportion equation
   82,908 : 127,506 = 127,506 : x
2. Step 2: Convert to fraction form
   82,908/127,506 = 127,506/x
3. Step 3: Cross multiply
   82,908x = 127,506 × 127,506
4. Step 4: Simplify right side
   82,908x = 16,257,780,036
5. Step 5: Solve for x
   x = 16,257,780,036/82,908
6. Step 6: Final answer
   x = 196,094.23