Finding the Third Proportional to 52,774 and 112,024

Step by Step Solution

1. Step 1: Write the proportion equation
   52,774 : 112,024 = 112,024 : x
2. Step 2: Convert to fraction form
   52,774/112,024 = 112,024/x
3. Step 3: Cross multiply
   52,774x = 112,024 × 112,024
4. Step 4: Simplify right side
   52,774x = 12,549,376,576
5. Step 5: Solve for x
   x = 12,549,376,576/52,774
6. Step 6: Final answer
   x = 237,794.68