Finding the Third Proportional to 157,152 and 339,404

Step by Step Solution

1. Step 1: Write the proportion equation
   157,152 : 339,404 = 339,404 : x
2. Step 2: Convert to fraction form
   157,152/339,404 = 339,404/x
3. Step 3: Cross multiply
   157,152x = 339,404 × 339,404
4. Step 4: Simplify right side
   157,152x = 115,195,075,216
5. Step 5: Solve for x
   x = 115,195,075,216/157,152
6. Step 6: Final answer
   x = 733,016.92