Finding the Third Proportional to 77,892 and 116,706

Step by Step Solution

1. Step 1: Write the proportion equation
   77,892 : 116,706 = 116,706 : x
2. Step 2: Convert to fraction form
   77,892/116,706 = 116,706/x
3. Step 3: Cross multiply
   77,892x = 116,706 × 116,706
4. Step 4: Simplify right side
   77,892x = 13,620,290,436
5. Step 5: Solve for x
   x = 13,620,290,436/77,892
6. Step 6: Final answer
   x = 174,861.22