Finding the Third Proportional to 69,281 and 111,572

Step by Step Solution

1. Step 1: Write the proportion equation
   69,281 : 111,572 = 111,572 : x
2. Step 2: Convert to fraction form
   69,281/111,572 = 111,572/x
3. Step 3: Cross multiply
   69,281x = 111,572 × 111,572
4. Step 4: Simplify right side
   69,281x = 12,448,311,184
5. Step 5: Solve for x
   x = 12,448,311,184/69,281
6. Step 6: Final answer
   x = 179,678.57