Finding the Third Proportional to 77,561 and 123,014

Step by Step Solution

1. Step 1: Write the proportion equation
   77,561 : 123,014 = 123,014 : x
2. Step 2: Convert to fraction form
   77,561/123,014 = 123,014/x
3. Step 3: Cross multiply
   77,561x = 123,014 × 123,014
4. Step 4: Simplify right side
   77,561x = 15,132,444,196
5. Step 5: Solve for x
   x = 15,132,444,196/77,561
6. Step 6: Final answer
   x = 195,103.78