Finding the Third Proportional to 77,752 and 123,778

Step by Step Solution

1. Step 1: Write the proportion equation
   77,752 : 123,778 = 123,778 : x
2. Step 2: Convert to fraction form
   77,752/123,778 = 123,778/x
3. Step 3: Cross multiply
   77,752x = 123,778 × 123,778
4. Step 4: Simplify right side
   77,752x = 15,320,993,284
5. Step 5: Solve for x
   x = 15,320,993,284/77,752
6. Step 6: Final answer
   x = 197,049.51