Finding the Third Proportional to 39,506 and 83,659.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,506 : 83,659.50 = 83,659.50 : x
2. Step 2: Convert to fraction form
   39,506/83,659.50 = 83,659.50/x
3. Step 3: Cross multiply
   39,506x = 83,659.50 × 83,659.50
4. Step 4: Simplify right side
   39,506x = 6,998,911,940.25
5. Step 5: Solve for x
   x = 6,998,911,940.25/39,506
6. Step 6: Final answer
   x = 177,160.73