Finding the Third Proportional to 82,142 and 176,550

Step by Step Solution

1. Step 1: Write the proportion equation
   82,142 : 176,550 = 176,550 : x
2. Step 2: Convert to fraction form
   82,142/176,550 = 176,550/x
3. Step 3: Cross multiply
   82,142x = 176,550 × 176,550
4. Step 4: Simplify right side
   82,142x = 31,169,902,500
5. Step 5: Solve for x
   x = 31,169,902,500/82,142
6. Step 6: Final answer
   x = 379,463.64