Finding the Third Proportional to 54,126 and 118,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,126 : 118,078.50 = 118,078.50 : x
2. Step 2: Convert to fraction form
   54,126/118,078.50 = 118,078.50/x
3. Step 3: Cross multiply
   54,126x = 118,078.50 × 118,078.50
4. Step 4: Simplify right side
   54,126x = 13,942,532,162.25
5. Step 5: Solve for x
   x = 13,942,532,162.25/54,126
6. Step 6: Final answer
   x = 257,593.99