Finding the Third Proportional to 200,862 and 311,017.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,862 : 311,017.50 = 311,017.50 : x
2. Step 2: Convert to fraction form
   200,862/311,017.50 = 311,017.50/x
3. Step 3: Cross multiply
   200,862x = 311,017.50 × 311,017.50
4. Step 4: Simplify right side
   200,862x = 96,731,885,306.25
5. Step 5: Solve for x
   x = 96,731,885,306.25/200,862
6. Step 6: Final answer
   x = 481,583.80