Finding the Third Proportional to 69,388 and 109,767

Step by Step Solution

1. Step 1: Write the proportion equation
   69,388 : 109,767 = 109,767 : x
2. Step 2: Convert to fraction form
   69,388/109,767 = 109,767/x
3. Step 3: Cross multiply
   69,388x = 109,767 × 109,767
4. Step 4: Simplify right side
   69,388x = 12,048,794,289
5. Step 5: Solve for x
   x = 12,048,794,289/69,388
6. Step 6: Final answer
   x = 173,643.78