Finding the Third Proportional to 52,404 and 114,774

Step by Step Solution

1. Step 1: Write the proportion equation
   52,404 : 114,774 = 114,774 : x
2. Step 2: Convert to fraction form
   52,404/114,774 = 114,774/x
3. Step 3: Cross multiply
   52,404x = 114,774 × 114,774
4. Step 4: Simplify right side
   52,404x = 13,173,071,076
5. Step 5: Solve for x
   x = 13,173,071,076/52,404
6. Step 6: Final answer
   x = 251,375.30