Finding the Third Proportional to 78,356 and 117,705

Step by Step Solution

1. Step 1: Write the proportion equation
   78,356 : 117,705 = 117,705 : x
2. Step 2: Convert to fraction form
   78,356/117,705 = 117,705/x
3. Step 3: Cross multiply
   78,356x = 117,705 × 117,705
4. Step 4: Simplify right side
   78,356x = 13,854,467,025
5. Step 5: Solve for x
   x = 13,854,467,025/78,356
6. Step 6: Final answer
   x = 176,814.37