Finding the Third Proportional to 39,159 and 83,857.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,159 : 83,857.50 = 83,857.50 : x
2. Step 2: Convert to fraction form
   39,159/83,857.50 = 83,857.50/x
3. Step 3: Cross multiply
   39,159x = 83,857.50 × 83,857.50
4. Step 4: Simplify right side
   39,159x = 7,032,080,306.25
5. Step 5: Solve for x
   x = 7,032,080,306.25/39,159
6. Step 6: Final answer
   x = 179,577.63