Finding the Third Proportional to 365,813 and 562,986.50

Step by Step Solution

1. Step 1: Write the proportion equation
   365,813 : 562,986.50 = 562,986.50 : x
2. Step 2: Convert to fraction form
   365,813/562,986.50 = 562,986.50/x
3. Step 3: Cross multiply
   365,813x = 562,986.50 × 562,986.50
4. Step 4: Simplify right side
   365,813x = 316,953,799,182.25
5. Step 5: Solve for x
   x = 316,953,799,182.25/365,813
6. Step 6: Final answer
   x = 866,436.67