Finding the Third Proportional to 38,078 and 78,802

Step by Step Solution

1. Step 1: Write the proportion equation
   38,078 : 78,802 = 78,802 : x
2. Step 2: Convert to fraction form
   38,078/78,802 = 78,802/x
3. Step 3: Cross multiply
   38,078x = 78,802 × 78,802
4. Step 4: Simplify right side
   38,078x = 6,209,755,204
5. Step 5: Solve for x
   x = 6,209,755,204/38,078
6. Step 6: Final answer
   x = 163,079.87