Finding the Third Proportional to 83,299.50 and 181,377

Step by Step Solution

1. Step 1: Write the proportion equation
   83,299.50 : 181,377 = 181,377 : x
2. Step 2: Convert to fraction form
   83,299.50/181,377 = 181,377/x
3. Step 3: Cross multiply
   83,299.50x = 181,377 × 181,377
4. Step 4: Simplify right side
   83,299.50x = 32,897,616,129
5. Step 5: Solve for x
   x = 32,897,616,129/83,299.50
6. Step 6: Final answer
   x = 394,931.74