Finding the Third Proportional to 36,679.13 and 78,202.69

Step by Step Solution

1. Step 1: Write the proportion equation
   36,679.13 : 78,202.69 = 78,202.69 : x
2. Step 2: Convert to fraction form
   36,679.13/78,202.69 = 78,202.69/x
3. Step 3: Cross multiply
   36,679.13x = 78,202.69 × 78,202.69
4. Step 4: Simplify right side
   36,679.13x = 6,115,660,332.22
5. Step 5: Solve for x
   x = 6,115,660,332.22/36,679.13
6. Step 6: Final answer
   x = 166,734.08