Finding the Third Proportional to 82,008 and 130,392

Step by Step Solution

1. Step 1: Write the proportion equation
   82,008 : 130,392 = 130,392 : x
2. Step 2: Convert to fraction form
   82,008/130,392 = 130,392/x
3. Step 3: Cross multiply
   82,008x = 130,392 × 130,392
4. Step 4: Simplify right side
   82,008x = 17,002,073,664
5. Step 5: Solve for x
   x = 17,002,073,664/82,008
6. Step 6: Final answer
   x = 207,322.14