Finding the Third Proportional to 38,778 and 83,746

Step by Step Solution

1. Step 1: Write the proportion equation
   38,778 : 83,746 = 83,746 : x
2. Step 2: Convert to fraction form
   38,778/83,746 = 83,746/x
3. Step 3: Cross multiply
   38,778x = 83,746 × 83,746
4. Step 4: Simplify right side
   38,778x = 7,013,392,516
5. Step 5: Solve for x
   x = 7,013,392,516/38,778
6. Step 6: Final answer
   x = 180,860.09