Finding the Third Proportional to 432,909 and 589,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   432,909 : 589,747.50 = 589,747.50 : x
2. Step 2: Convert to fraction form
   432,909/589,747.50 = 589,747.50/x
3. Step 3: Cross multiply
   432,909x = 589,747.50 × 589,747.50
4. Step 4: Simplify right side
   432,909x = 347,802,113,756.25
5. Step 5: Solve for x
   x = 347,802,113,756.25/432,909
6. Step 6: Final answer
   x = 803,406.98