Finding the Third Proportional to 150,611 and 200,792.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,611 : 200,792.50 = 200,792.50 : x
2. Step 2: Convert to fraction form
   150,611/200,792.50 = 200,792.50/x
3. Step 3: Cross multiply
   150,611x = 200,792.50 × 200,792.50
4. Step 4: Simplify right side
   150,611x = 40,317,628,056.25
5. Step 5: Solve for x
   x = 40,317,628,056.25/150,611
6. Step 6: Final answer
   x = 267,693.78