Finding the Third Proportional to 201,042 and 311,416.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,042 : 311,416.50 = 311,416.50 : x
2. Step 2: Convert to fraction form
   201,042/311,416.50 = 311,416.50/x
3. Step 3: Cross multiply
   201,042x = 311,416.50 × 311,416.50
4. Step 4: Simplify right side
   201,042x = 96,980,236,472.25
5. Step 5: Solve for x
   x = 96,980,236,472.25/201,042
6. Step 6: Final answer
   x = 482,387.94