Finding the Third Proportional to 419,301 and 558,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   419,301 : 558,643.50 = 558,643.50 : x
2. Step 2: Convert to fraction form
   419,301/558,643.50 = 558,643.50/x
3. Step 3: Cross multiply
   419,301x = 558,643.50 × 558,643.50
4. Step 4: Simplify right side
   419,301x = 312,082,560,092.25
5. Step 5: Solve for x
   x = 312,082,560,092.25/419,301
6. Step 6: Final answer
   x = 744,292.43