Finding the Third Proportional to 68,205 and 105,223.50

Step by Step Solution

1. Step 1: Write the proportion equation
   68,205 : 105,223.50 = 105,223.50 : x
2. Step 2: Convert to fraction form
   68,205/105,223.50 = 105,223.50/x
3. Step 3: Cross multiply
   68,205x = 105,223.50 × 105,223.50
4. Step 4: Simplify right side
   68,205x = 11,071,984,952.25
5. Step 5: Solve for x
   x = 11,071,984,952.25/68,205
6. Step 6: Final answer
   x = 162,333.92