Finding the Third Proportional to 82,218 and 130,068

Step by Step Solution

1. Step 1: Write the proportion equation
   82,218 : 130,068 = 130,068 : x
2. Step 2: Convert to fraction form
   82,218/130,068 = 130,068/x
3. Step 3: Cross multiply
   82,218x = 130,068 × 130,068
4. Step 4: Simplify right side
   82,218x = 16,917,684,624
5. Step 5: Solve for x
   x = 16,917,684,624/82,218
6. Step 6: Final answer
   x = 205,766.19