Finding the Third Proportional to 86,759 and 200,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,759 : 200,827.50 = 200,827.50 : x
2. Step 2: Convert to fraction form
   86,759/200,827.50 = 200,827.50/x
3. Step 3: Cross multiply
   86,759x = 200,827.50 × 200,827.50
4. Step 4: Simplify right side
   86,759x = 40,331,684,756.25
5. Step 5: Solve for x
   x = 40,331,684,756.25/86,759
6. Step 6: Final answer
   x = 464,870.33