Finding the Third Proportional to 333,408 and 476,431.50

Step by Step Solution

1. Step 1: Write the proportion equation
   333,408 : 476,431.50 = 476,431.50 : x
2. Step 2: Convert to fraction form
   333,408/476,431.50 = 476,431.50/x
3. Step 3: Cross multiply
   333,408x = 476,431.50 × 476,431.50
4. Step 4: Simplify right side
   333,408x = 226,986,974,192.25
5. Step 5: Solve for x
   x = 226,986,974,192.25/333,408
6. Step 6: Final answer
   x = 680,808.42