Finding the Third Proportional to 333,212 and 476,158

Step by Step Solution

1. Step 1: Write the proportion equation
   333,212 : 476,158 = 476,158 : x
2. Step 2: Convert to fraction form
   333,212/476,158 = 476,158/x
3. Step 3: Cross multiply
   333,212x = 476,158 × 476,158
4. Step 4: Simplify right side
   333,212x = 226,726,440,964
5. Step 5: Solve for x
   x = 226,726,440,964/333,212
6. Step 6: Final answer
   x = 680,427.00