Finding the Third Proportional to 199,614 and 293,569.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,614 : 293,569.50 = 293,569.50 : x
2. Step 2: Convert to fraction form
   199,614/293,569.50 = 293,569.50/x
3. Step 3: Cross multiply
   199,614x = 293,569.50 × 293,569.50
4. Step 4: Simplify right side
   199,614x = 86,183,051,330.25
5. Step 5: Solve for x
   x = 86,183,051,330.25/199,614
6. Step 6: Final answer
   x = 431,748.53