Finding the Third Proportional to 199,578 and 433,603.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,578 : 433,603.50 = 433,603.50 : x
2. Step 2: Convert to fraction form
   199,578/433,603.50 = 433,603.50/x
3. Step 3: Cross multiply
   199,578x = 433,603.50 × 433,603.50
4. Step 4: Simplify right side
   199,578x = 188,011,995,212.25
5. Step 5: Solve for x
   x = 188,011,995,212.25/199,578
6. Step 6: Final answer
   x = 942,047.70