Finding the Third Proportional to 432,901 and 589,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   432,901 : 589,735.50 = 589,735.50 : x
2. Step 2: Convert to fraction form
   432,901/589,735.50 = 589,735.50/x
3. Step 3: Cross multiply
   432,901x = 589,735.50 × 589,735.50
4. Step 4: Simplify right side
   432,901x = 347,787,959,960.25
5. Step 5: Solve for x
   x = 347,787,959,960.25/432,901
6. Step 6: Final answer
   x = 803,389.14