Finding the Third Proportional to 77,891 and 116,705

Step by Step Solution

1. Step 1: Write the proportion equation
   77,891 : 116,705 = 116,705 : x
2. Step 2: Convert to fraction form
   77,891/116,705 = 116,705/x
3. Step 3: Cross multiply
   77,891x = 116,705 × 116,705
4. Step 4: Simplify right side
   77,891x = 13,620,057,025
5. Step 5: Solve for x
   x = 13,620,057,025/77,891
6. Step 6: Final answer
   x = 174,860.47