Finding the Third Proportional to 83,139 and 181,805.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,139 : 181,805.50 = 181,805.50 : x
2. Step 2: Convert to fraction form
   83,139/181,805.50 = 181,805.50/x
3. Step 3: Cross multiply
   83,139x = 181,805.50 × 181,805.50
4. Step 4: Simplify right side
   83,139x = 33,053,239,830.25
5. Step 5: Solve for x
   x = 33,053,239,830.25/83,139
6. Step 6: Final answer
   x = 397,566.00