Finding the Third Proportional to 71,772 and 112,018

Step by Step Solution

1. Step 1: Write the proportion equation
   71,772 : 112,018 = 112,018 : x
2. Step 2: Convert to fraction form
   71,772/112,018 = 112,018/x
3. Step 3: Cross multiply
   71,772x = 112,018 × 112,018
4. Step 4: Simplify right side
   71,772x = 12,548,032,324
5. Step 5: Solve for x
   x = 12,548,032,324/71,772
6. Step 6: Final answer
   x = 174,831.86