Finding the Third Proportional to 333,402.50 and 476,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   333,402.50 : 476,424.50 = 476,424.50 : x
2. Step 2: Convert to fraction form
   333,402.50/476,424.50 = 476,424.50/x
3. Step 3: Cross multiply
   333,402.50x = 476,424.50 × 476,424.50
4. Step 4: Simplify right side
   333,402.50x = 226,980,304,200.25
5. Step 5: Solve for x
   x = 226,980,304,200.25/333,402.50
6. Step 6: Final answer
   x = 680,799.65