Finding the Third Proportional to 226,323 and 341,790

Step by Step Solution

1. Step 1: Write the proportion equation
   226,323 : 341,790 = 341,790 : x
2. Step 2: Convert to fraction form
   226,323/341,790 = 341,790/x
3. Step 3: Cross multiply
   226,323x = 341,790 × 341,790
4. Step 4: Simplify right side
   226,323x = 116,820,404,100
5. Step 5: Solve for x
   x = 116,820,404,100/226,323
6. Step 6: Final answer
   x = 516,166.74