Finding the Third Proportional to 49,752 and 78,778

Step by Step Solution

1. Step 1: Write the proportion equation
   49,752 : 78,778 = 78,778 : x
2. Step 2: Convert to fraction form
   49,752/78,778 = 78,778/x
3. Step 3: Cross multiply
   49,752x = 78,778 × 78,778
4. Step 4: Simplify right side
   49,752x = 6,205,973,284
5. Step 5: Solve for x
   x = 6,205,973,284/49,752
6. Step 6: Final answer
   x = 124,738.17