Finding the Third Proportional to 78,536 and 167,656

Step by Step Solution

1. Step 1: Write the proportion equation
   78,536 : 167,656 = 167,656 : x
2. Step 2: Convert to fraction form
   78,536/167,656 = 167,656/x
3. Step 3: Cross multiply
   78,536x = 167,656 × 167,656
4. Step 4: Simplify right side
   78,536x = 28,108,534,336
5. Step 5: Solve for x
   x = 28,108,534,336/78,536
6. Step 6: Final answer
   x = 357,906.37