Finding the Third Proportional to 83,241 and 182,034

Step by Step Solution

1. Step 1: Write the proportion equation
   83,241 : 182,034 = 182,034 : x
2. Step 2: Convert to fraction form
   83,241/182,034 = 182,034/x
3. Step 3: Cross multiply
   83,241x = 182,034 × 182,034
4. Step 4: Simplify right side
   83,241x = 33,136,377,156
5. Step 5: Solve for x
   x = 33,136,377,156/83,241
6. Step 6: Final answer
   x = 398,077.60