Finding the Third Proportional to 36,781 and 78,746

Step by Step Solution

1. Step 1: Write the proportion equation
   36,781 : 78,746 = 78,746 : x
2. Step 2: Convert to fraction form
   36,781/78,746 = 78,746/x
3. Step 3: Cross multiply
   36,781x = 78,746 × 78,746
4. Step 4: Simplify right side
   36,781x = 6,200,932,516
5. Step 5: Solve for x
   x = 6,200,932,516/36,781
6. Step 6: Final answer
   x = 168,590.65