Finding the Third Proportional to 82,068 and 193,624

Step by Step Solution

1. Step 1: Write the proportion equation
   82,068 : 193,624 = 193,624 : x
2. Step 2: Convert to fraction form
   82,068/193,624 = 193,624/x
3. Step 3: Cross multiply
   82,068x = 193,624 × 193,624
4. Step 4: Simplify right side
   82,068x = 37,490,253,376
5. Step 5: Solve for x
   x = 37,490,253,376/82,068
6. Step 6: Final answer
   x = 456,819.39