Finding the Third Proportional to 106,583 and 230,243.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,583 : 230,243.50 = 230,243.50 : x
2. Step 2: Convert to fraction form
   106,583/230,243.50 = 230,243.50/x
3. Step 3: Cross multiply
   106,583x = 230,243.50 × 230,243.50
4. Step 4: Simplify right side
   106,583x = 53,012,069,292.25
5. Step 5: Solve for x
   x = 53,012,069,292.25/106,583
6. Step 6: Final answer
   x = 497,378.28