Finding the Third Proportional to 82,146 and 176,560

Step by Step Solution

1. Step 1: Write the proportion equation
   82,146 : 176,560 = 176,560 : x
2. Step 2: Convert to fraction form
   82,146/176,560 = 176,560/x
3. Step 3: Cross multiply
   82,146x = 176,560 × 176,560
4. Step 4: Simplify right side
   82,146x = 31,173,433,600
5. Step 5: Solve for x
   x = 31,173,433,600/82,146
6. Step 6: Final answer
   x = 379,488.15