Finding the Third Proportional to 301,833 and 423,043.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,833 : 423,043.50 = 423,043.50 : x
2. Step 2: Convert to fraction form
   301,833/423,043.50 = 423,043.50/x
3. Step 3: Cross multiply
   301,833x = 423,043.50 × 423,043.50
4. Step 4: Simplify right side
   301,833x = 178,965,802,892.25
5. Step 5: Solve for x
   x = 178,965,802,892.25/301,833
6. Step 6: Final answer
   x = 592,929.87