Finding the Third Proportional to 83,114 and 181,807

Step by Step Solution

1. Step 1: Write the proportion equation
   83,114 : 181,807 = 181,807 : x
2. Step 2: Convert to fraction form
   83,114/181,807 = 181,807/x
3. Step 3: Cross multiply
   83,114x = 181,807 × 181,807
4. Step 4: Simplify right side
   83,114x = 33,053,785,249
5. Step 5: Solve for x
   x = 33,053,785,249/83,114
6. Step 6: Final answer
   x = 397,692.15