Finding the Third Proportional to 155,916 and 338,076

Step by Step Solution

1. Step 1: Write the proportion equation
   155,916 : 338,076 = 338,076 : x
2. Step 2: Convert to fraction form
   155,916/338,076 = 338,076/x
3. Step 3: Cross multiply
   155,916x = 338,076 × 338,076
4. Step 4: Simplify right side
   155,916x = 114,295,381,776
5. Step 5: Solve for x
   x = 114,295,381,776/155,916
6. Step 6: Final answer
   x = 733,057.43