Finding the Third Proportional to 50,462 and 78,359

Step by Step Solution

1. Step 1: Write the proportion equation
   50,462 : 78,359 = 78,359 : x
2. Step 2: Convert to fraction form
   50,462/78,359 = 78,359/x
3. Step 3: Cross multiply
   50,462x = 78,359 × 78,359
4. Step 4: Simplify right side
   50,462x = 6,140,132,881
5. Step 5: Solve for x
   x = 6,140,132,881/50,462
6. Step 6: Final answer
   x = 121,678.35