Finding the Third Proportional to 83,174.50 and 182,291

Step by Step Solution

1. Step 1: Write the proportion equation
   83,174.50 : 182,291 = 182,291 : x
2. Step 2: Convert to fraction form
   83,174.50/182,291 = 182,291/x
3. Step 3: Cross multiply
   83,174.50x = 182,291 × 182,291
4. Step 4: Simplify right side
   83,174.50x = 33,230,008,681
5. Step 5: Solve for x
   x = 33,230,008,681/83,174.50
6. Step 6: Final answer
   x = 399,521.59