Finding the Third Proportional to 77,886 and 116,698

Step by Step Solution

1. Step 1: Write the proportion equation
   77,886 : 116,698 = 116,698 : x
2. Step 2: Convert to fraction form
   77,886/116,698 = 116,698/x
3. Step 3: Cross multiply
   77,886x = 116,698 × 116,698
4. Step 4: Simplify right side
   77,886x = 13,618,423,204
5. Step 5: Solve for x
   x = 13,618,423,204/77,886
6. Step 6: Final answer
   x = 174,850.72