Finding the Third Proportional to 69,289 and 111,583

Step by Step Solution

1. Step 1: Write the proportion equation
   69,289 : 111,583 = 111,583 : x
2. Step 2: Convert to fraction form
   69,289/111,583 = 111,583/x
3. Step 3: Cross multiply
   69,289x = 111,583 × 111,583
4. Step 4: Simplify right side
   69,289x = 12,450,765,889
5. Step 5: Solve for x
   x = 12,450,765,889/69,289
6. Step 6: Final answer
   x = 179,693.25