Finding the Third Proportional to 77,776 and 123,669

Step by Step Solution

1. Step 1: Write the proportion equation
   77,776 : 123,669 = 123,669 : x
2. Step 2: Convert to fraction form
   77,776/123,669 = 123,669/x
3. Step 3: Cross multiply
   77,776x = 123,669 × 123,669
4. Step 4: Simplify right side
   77,776x = 15,294,021,561
5. Step 5: Solve for x
   x = 15,294,021,561/77,776
6. Step 6: Final answer
   x = 196,641.91