Finding the Third Proportional to 68,109 and 102,256.50

Step by Step Solution

1. Step 1: Write the proportion equation
   68,109 : 102,256.50 = 102,256.50 : x
2. Step 2: Convert to fraction form
   68,109/102,256.50 = 102,256.50/x
3. Step 3: Cross multiply
   68,109x = 102,256.50 × 102,256.50
4. Step 4: Simplify right side
   68,109x = 10,456,391,792.25
5. Step 5: Solve for x
   x = 10,456,391,792.25/68,109
6. Step 6: Final answer
   x = 153,524.38