Finding the Third Proportional to 77,244 and 116,686

Step by Step Solution

1. Step 1: Write the proportion equation
   77,244 : 116,686 = 116,686 : x
2. Step 2: Convert to fraction form
   77,244/116,686 = 116,686/x
3. Step 3: Cross multiply
   77,244x = 116,686 × 116,686
4. Step 4: Simplify right side
   77,244x = 13,615,622,596
5. Step 5: Solve for x
   x = 13,615,622,596/77,244
6. Step 6: Final answer
   x = 176,267.70