Finding the Third Proportional to 197,982 and 283,711.50

Step by Step Solution

1. Step 1: Write the proportion equation
   197,982 : 283,711.50 = 283,711.50 : x
2. Step 2: Convert to fraction form
   197,982/283,711.50 = 283,711.50/x
3. Step 3: Cross multiply
   197,982x = 283,711.50 × 283,711.50
4. Step 4: Simplify right side
   197,982x = 80,492,215,232.25
5. Step 5: Solve for x
   x = 80,492,215,232.25/197,982
6. Step 6: Final answer
   x = 406,563.30