Finding the Third Proportional to 39,705 and 85,168.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,705 : 85,168.50 = 85,168.50 : x
2. Step 2: Convert to fraction form
   39,705/85,168.50 = 85,168.50/x
3. Step 3: Cross multiply
   39,705x = 85,168.50 × 85,168.50
4. Step 4: Simplify right side
   39,705x = 7,253,673,392.25
5. Step 5: Solve for x
   x = 7,253,673,392.25/39,705
6. Step 6: Final answer
   x = 182,689.17