Finding the Third Proportional to 65,220 and 142,942

Step by Step Solution

1. Step 1: Write the proportion equation
   65,220 : 142,942 = 142,942 : x
2. Step 2: Convert to fraction form
   65,220/142,942 = 142,942/x
3. Step 3: Cross multiply
   65,220x = 142,942 × 142,942
4. Step 4: Simplify right side
   65,220x = 20,432,415,364
5. Step 5: Solve for x
   x = 20,432,415,364/65,220
6. Step 6: Final answer
   x = 313,284.50