Finding the Third Proportional to 35,788 and 78,656

Step by Step Solution

1. Step 1: Write the proportion equation
   35,788 : 78,656 = 78,656 : x
2. Step 2: Convert to fraction form
   35,788/78,656 = 78,656/x
3. Step 3: Cross multiply
   35,788x = 78,656 × 78,656
4. Step 4: Simplify right side
   35,788x = 6,186,766,336
5. Step 5: Solve for x
   x = 6,186,766,336/35,788
6. Step 6: Final answer
   x = 172,872.65