Finding the Third Proportional to 77,808 and 173,760

Step by Step Solution

1. Step 1: Write the proportion equation
   77,808 : 173,760 = 173,760 : x
2. Step 2: Convert to fraction form
   77,808/173,760 = 173,760/x
3. Step 3: Cross multiply
   77,808x = 173,760 × 173,760
4. Step 4: Simplify right side
   77,808x = 30,192,537,600
5. Step 5: Solve for x
   x = 30,192,537,600/77,808
6. Step 6: Final answer
   x = 388,038.99