Finding the Third Proportional to 50,502 and 78,195

Step by Step Solution

1. Step 1: Write the proportion equation
   50,502 : 78,195 = 78,195 : x
2. Step 2: Convert to fraction form
   50,502/78,195 = 78,195/x
3. Step 3: Cross multiply
   50,502x = 78,195 × 78,195
4. Step 4: Simplify right side
   50,502x = 6,114,458,025
5. Step 5: Solve for x
   x = 6,114,458,025/50,502
6. Step 6: Final answer
   x = 121,073.58