Finding the Third Proportional to 77,810 and 123,519

Step by Step Solution

1. Step 1: Write the proportion equation
   77,810 : 123,519 = 123,519 : x
2. Step 2: Convert to fraction form
   77,810/123,519 = 123,519/x
3. Step 3: Cross multiply
   77,810x = 123,519 × 123,519
4. Step 4: Simplify right side
   77,810x = 15,256,943,361
5. Step 5: Solve for x
   x = 15,256,943,361/77,810
6. Step 6: Final answer
   x = 196,079.47