Finding the Third Proportional to 83,452.50 and 185,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,452.50 : 185,563.50 = 185,563.50 : x
2. Step 2: Convert to fraction form
   83,452.50/185,563.50 = 185,563.50/x
3. Step 3: Cross multiply
   83,452.50x = 185,563.50 × 185,563.50
4. Step 4: Simplify right side
   83,452.50x = 34,433,812,532.25
5. Step 5: Solve for x
   x = 34,433,812,532.25/83,452.50
6. Step 6: Final answer
   x = 412,615.71