Finding the Third Proportional to 53,478 and 114,345

Step by Step Solution

1. Step 1: Write the proportion equation
   53,478 : 114,345 = 114,345 : x
2. Step 2: Convert to fraction form
   53,478/114,345 = 114,345/x
3. Step 3: Cross multiply
   53,478x = 114,345 × 114,345
4. Step 4: Simplify right side
   53,478x = 13,074,779,025
5. Step 5: Solve for x
   x = 13,074,779,025/53,478
6. Step 6: Final answer
   x = 244,488.93