Finding the Third Proportional to 50,925 and 120,402

Step by Step Solution

1. Step 1: Write the proportion equation
   50,925 : 120,402 = 120,402 : x
2. Step 2: Convert to fraction form
   50,925/120,402 = 120,402/x
3. Step 3: Cross multiply
   50,925x = 120,402 × 120,402
4. Step 4: Simplify right side
   50,925x = 14,496,641,604
5. Step 5: Solve for x
   x = 14,496,641,604/50,925
6. Step 6: Final answer
   x = 284,666.50