Finding the Third Proportional to 77,365 and 104,384

Step by Step Solution

1. Step 1: Write the proportion equation
   77,365 : 104,384 = 104,384 : x
2. Step 2: Convert to fraction form
   77,365/104,384 = 104,384/x
3. Step 3: Cross multiply
   77,365x = 104,384 × 104,384
4. Step 4: Simplify right side
   77,365x = 10,896,019,456
5. Step 5: Solve for x
   x = 10,896,019,456/77,365
6. Step 6: Final answer
   x = 140,839.13