Finding the Third Proportional to 65,223 and 142,915.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,223 : 142,915.50 = 142,915.50 : x
2. Step 2: Convert to fraction form
   65,223/142,915.50 = 142,915.50/x
3. Step 3: Cross multiply
   65,223x = 142,915.50 × 142,915.50
4. Step 4: Simplify right side
   65,223x = 20,424,840,140.25
5. Step 5: Solve for x
   x = 20,424,840,140.25/65,223
6. Step 6: Final answer
   x = 313,153.95