Finding the Third Proportional to 77,884 and 123,721

Step by Step Solution

1. Step 1: Write the proportion equation
   77,884 : 123,721 = 123,721 : x
2. Step 2: Convert to fraction form
   77,884/123,721 = 123,721/x
3. Step 3: Cross multiply
   77,884x = 123,721 × 123,721
4. Step 4: Simplify right side
   77,884x = 15,306,885,841
5. Step 5: Solve for x
   x = 15,306,885,841/77,884
6. Step 6: Final answer
   x = 196,534.41