Finding the Third Proportional to 54,548 and 114,928

Step by Step Solution

1. Step 1: Write the proportion equation
   54,548 : 114,928 = 114,928 : x
2. Step 2: Convert to fraction form
   54,548/114,928 = 114,928/x
3. Step 3: Cross multiply
   54,548x = 114,928 × 114,928
4. Step 4: Simplify right side
   54,548x = 13,208,445,184
5. Step 5: Solve for x
   x = 13,208,445,184/54,548
6. Step 6: Final answer
   x = 242,143.53