Finding the Third Proportional to 54,456 and 117,254.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,456 : 117,254.50 = 117,254.50 : x
2. Step 2: Convert to fraction form
   54,456/117,254.50 = 117,254.50/x
3. Step 3: Cross multiply
   54,456x = 117,254.50 × 117,254.50
4. Step 4: Simplify right side
   54,456x = 13,748,617,770.25
5. Step 5: Solve for x
   x = 13,748,617,770.25/54,456
6. Step 6: Final answer
   x = 252,472.05