Finding the Third Proportional to 68,565 and 109,488

Step by Step Solution

1. Step 1: Write the proportion equation
   68,565 : 109,488 = 109,488 : x
2. Step 2: Convert to fraction form
   68,565/109,488 = 109,488/x
3. Step 3: Cross multiply
   68,565x = 109,488 × 109,488
4. Step 4: Simplify right side
   68,565x = 11,987,622,144
5. Step 5: Solve for x
   x = 11,987,622,144/68,565
6. Step 6: Final answer
   x = 174,835.88