Finding the Third Proportional to 83,082 and 181,201.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,082 : 181,201.50 = 181,201.50 : x
2. Step 2: Convert to fraction form
   83,082/181,201.50 = 181,201.50/x
3. Step 3: Cross multiply
   83,082x = 181,201.50 × 181,201.50
4. Step 4: Simplify right side
   83,082x = 32,833,983,602.25
5. Step 5: Solve for x
   x = 32,833,983,602.25/83,082
6. Step 6: Final answer
   x = 395,199.73