Finding the Third Proportional to 50,931 and 120,417

Step by Step Solution

1. Step 1: Write the proportion equation
   50,931 : 120,417 = 120,417 : x
2. Step 2: Convert to fraction form
   50,931/120,417 = 120,417/x
3. Step 3: Cross multiply
   50,931x = 120,417 × 120,417
4. Step 4: Simplify right side
   50,931x = 14,500,253,889
5. Step 5: Solve for x
   x = 14,500,253,889/50,931
6. Step 6: Final answer
   x = 284,703.89