Finding the Third Proportional to 55,495.50 and 120,417

Step by Step Solution

1. Step 1: Write the proportion equation
   55,495.50 : 120,417 = 120,417 : x
2. Step 2: Convert to fraction form
   55,495.50/120,417 = 120,417/x
3. Step 3: Cross multiply
   55,495.50x = 120,417 × 120,417
4. Step 4: Simplify right side
   55,495.50x = 14,500,253,889
5. Step 5: Solve for x
   x = 14,500,253,889/55,495.50
6. Step 6: Final answer
   x = 261,287.02