Finding the Third Proportional to 56,416.50 and 120,609

Step by Step Solution

1. Step 1: Write the proportion equation
   56,416.50 : 120,609 = 120,609 : x
2. Step 2: Convert to fraction form
   56,416.50/120,609 = 120,609/x
3. Step 3: Cross multiply
   56,416.50x = 120,609 × 120,609
4. Step 4: Simplify right side
   56,416.50x = 14,546,530,881
5. Step 5: Solve for x
   x = 14,546,530,881/56,416.50
6. Step 6: Final answer
   x = 257,841.78