Finding the Third Proportional to 52,784 and 112,045

Step by Step Solution

1. Step 1: Write the proportion equation
   52,784 : 112,045 = 112,045 : x
2. Step 2: Convert to fraction form
   52,784/112,045 = 112,045/x
3. Step 3: Cross multiply
   52,784x = 112,045 × 112,045
4. Step 4: Simplify right side
   52,784x = 12,554,082,025
5. Step 5: Solve for x
   x = 12,554,082,025/52,784
6. Step 6: Final answer
   x = 237,838.78