Finding the Third Proportional to 82,060 and 193,604

Step by Step Solution

1. Step 1: Write the proportion equation
   82,060 : 193,604 = 193,604 : x
2. Step 2: Convert to fraction form
   82,060/193,604 = 193,604/x
3. Step 3: Cross multiply
   82,060x = 193,604 × 193,604
4. Step 4: Simplify right side
   82,060x = 37,482,508,816
5. Step 5: Solve for x
   x = 37,482,508,816/82,060
6. Step 6: Final answer
   x = 456,769.54