Finding the Third Proportional to 83,142 and 182,898

Step by Step Solution

1. Step 1: Write the proportion equation
   83,142 : 182,898 = 182,898 : x
2. Step 2: Convert to fraction form
   83,142/182,898 = 182,898/x
3. Step 3: Cross multiply
   83,142x = 182,898 × 182,898
4. Step 4: Simplify right side
   83,142x = 33,451,678,404
5. Step 5: Solve for x
   x = 33,451,678,404/83,142
6. Step 6: Final answer
   x = 402,343.92