Finding the Third Proportional to 77,886 and 116,697

Step by Step Solution

1. Step 1: Write the proportion equation
   77,886 : 116,697 = 116,697 : x
2. Step 2: Convert to fraction form
   77,886/116,697 = 116,697/x
3. Step 3: Cross multiply
   77,886x = 116,697 × 116,697
4. Step 4: Simplify right side
   77,886x = 13,618,189,809
5. Step 5: Solve for x
   x = 13,618,189,809/77,886
6. Step 6: Final answer
   x = 174,847.72