Finding the Third Proportional to 130,144 and 284,156

Step by Step Solution

1. Step 1: Write the proportion equation
   130,144 : 284,156 = 284,156 : x
2. Step 2: Convert to fraction form
   130,144/284,156 = 284,156/x
3. Step 3: Cross multiply
   130,144x = 284,156 × 284,156
4. Step 4: Simplify right side
   130,144x = 80,744,632,336
5. Step 5: Solve for x
   x = 80,744,632,336/130,144
6. Step 6: Final answer
   x = 620,425.32