Finding the Third Proportional to 199,602 and 431,188.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,602 : 431,188.50 = 431,188.50 : x
2. Step 2: Convert to fraction form
   199,602/431,188.50 = 431,188.50/x
3. Step 3: Cross multiply
   199,602x = 431,188.50 × 431,188.50
4. Step 4: Simplify right side
   199,602x = 185,923,522,532.25
5. Step 5: Solve for x
   x = 185,923,522,532.25/199,602
6. Step 6: Final answer
   x = 931,471.24