Finding the Third Proportional to 72,314 and 155,492

Step by Step Solution

1. Step 1: Write the proportion equation
   72,314 : 155,492 = 155,492 : x
2. Step 2: Convert to fraction form
   72,314/155,492 = 155,492/x
3. Step 3: Cross multiply
   72,314x = 155,492 × 155,492
4. Step 4: Simplify right side
   72,314x = 24,177,762,064
5. Step 5: Solve for x
   x = 24,177,762,064/72,314
6. Step 6: Final answer
   x = 334,344.14