Finding the Third Proportional to 77,660 and 123,162

Step by Step Solution

1. Step 1: Write the proportion equation
   77,660 : 123,162 = 123,162 : x
2. Step 2: Convert to fraction form
   77,660/123,162 = 123,162/x
3. Step 3: Cross multiply
   77,660x = 123,162 × 123,162
4. Step 4: Simplify right side
   77,660x = 15,168,878,244
5. Step 5: Solve for x
   x = 15,168,878,244/77,660
6. Step 6: Final answer
   x = 195,324.21