Finding the Third Proportional to 199,557 and 293,500.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,557 : 293,500.50 = 293,500.50 : x
2. Step 2: Convert to fraction form
   199,557/293,500.50 = 293,500.50/x
3. Step 3: Cross multiply
   199,557x = 293,500.50 × 293,500.50
4. Step 4: Simplify right side
   199,557x = 86,142,543,500.25
5. Step 5: Solve for x
   x = 86,142,543,500.25/199,557
6. Step 6: Final answer
   x = 431,668.86