Finding the Third Proportional to 300,406.50 and 467,842.50

Step by Step Solution

1. Step 1: Write the proportion equation
   300,406.50 : 467,842.50 = 467,842.50 : x
2. Step 2: Convert to fraction form
   300,406.50/467,842.50 = 467,842.50/x
3. Step 3: Cross multiply
   300,406.50x = 467,842.50 × 467,842.50
4. Step 4: Simplify right side
   300,406.50x = 218,876,604,806.25
5. Step 5: Solve for x
   x = 218,876,604,806.25/300,406.50
6. Step 6: Final answer
   x = 728,601.43