Finding the Third Proportional to 68,619 and 109,558

Step by Step Solution

1. Step 1: Write the proportion equation
   68,619 : 109,558 = 109,558 : x
2. Step 2: Convert to fraction form
   68,619/109,558 = 109,558/x
3. Step 3: Cross multiply
   68,619x = 109,558 × 109,558
4. Step 4: Simplify right side
   68,619x = 12,002,955,364
5. Step 5: Solve for x
   x = 12,002,955,364/68,619
6. Step 6: Final answer
   x = 174,921.75