Finding the Third Proportional to 68,424 and 109,308

Step by Step Solution

1. Step 1: Write the proportion equation
   68,424 : 109,308 = 109,308 : x
2. Step 2: Convert to fraction form
   68,424/109,308 = 109,308/x
3. Step 3: Cross multiply
   68,424x = 109,308 × 109,308
4. Step 4: Simplify right side
   68,424x = 11,948,238,864
5. Step 5: Solve for x
   x = 11,948,238,864/68,424
6. Step 6: Final answer
   x = 174,620.58