Finding the Third Proportional to 173,583 and 263,290.50

Step by Step Solution

1. Step 1: Write the proportion equation
   173,583 : 263,290.50 = 263,290.50 : x
2. Step 2: Convert to fraction form
   173,583/263,290.50 = 263,290.50/x
3. Step 3: Cross multiply
   173,583x = 263,290.50 × 263,290.50
4. Step 4: Simplify right side
   173,583x = 69,321,887,390.25
5. Step 5: Solve for x
   x = 69,321,887,390.25/173,583
6. Step 6: Final answer
   x = 399,358.74