Finding the Third Proportional to 71,004 and 111,382

Step by Step Solution

1. Step 1: Write the proportion equation
   71,004 : 111,382 = 111,382 : x
2. Step 2: Convert to fraction form
   71,004/111,382 = 111,382/x
3. Step 3: Cross multiply
   71,004x = 111,382 × 111,382
4. Step 4: Simplify right side
   71,004x = 12,405,949,924
5. Step 5: Solve for x
   x = 12,405,949,924/71,004
6. Step 6: Final answer
   x = 174,721.85