Finding the Third Proportional to 157,870 and 338,204

Step by Step Solution

1. Step 1: Write the proportion equation
   157,870 : 338,204 = 338,204 : x
2. Step 2: Convert to fraction form
   157,870/338,204 = 338,204/x
3. Step 3: Cross multiply
   157,870x = 338,204 × 338,204
4. Step 4: Simplify right side
   157,870x = 114,381,945,616
5. Step 5: Solve for x
   x = 114,381,945,616/157,870
6. Step 6: Final answer
   x = 724,532.50