Finding the Third Proportional to 200,776.50 and 418,189.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,776.50 : 418,189.50 = 418,189.50 : x
2. Step 2: Convert to fraction form
   200,776.50/418,189.50 = 418,189.50/x
3. Step 3: Cross multiply
   200,776.50x = 418,189.50 × 418,189.50
4. Step 4: Simplify right side
   200,776.50x = 174,882,457,910.25
5. Step 5: Solve for x
   x = 174,882,457,910.25/200,776.50
6. Step 6: Final answer
   x = 871,030.51