Finding the Third Proportional to 68,640 and 100,732.50

Step by Step Solution

1. Step 1: Write the proportion equation
   68,640 : 100,732.50 = 100,732.50 : x
2. Step 2: Convert to fraction form
   68,640/100,732.50 = 100,732.50/x
3. Step 3: Cross multiply
   68,640x = 100,732.50 × 100,732.50
4. Step 4: Simplify right side
   68,640x = 10,147,036,556.25
5. Step 5: Solve for x
   x = 10,147,036,556.25/68,640
6. Step 6: Final answer
   x = 147,829.79