Finding the Third Proportional to 54,466 and 114,428

Step by Step Solution

1. Step 1: Write the proportion equation
   54,466 : 114,428 = 114,428 : x
2. Step 2: Convert to fraction form
   54,466/114,428 = 114,428/x
3. Step 3: Cross multiply
   54,466x = 114,428 × 114,428
4. Step 4: Simplify right side
   54,466x = 13,093,767,184
5. Step 5: Solve for x
   x = 13,093,767,184/54,466
6. Step 6: Final answer
   x = 240,402.58