Finding the Third Proportional to 226,956 and 341,412.75

Step by Step Solution

1. Step 1: Write the proportion equation
   226,956 : 341,412.75 = 341,412.75 : x
2. Step 2: Convert to fraction form
   226,956/341,412.75 = 341,412.75/x
3. Step 3: Cross multiply
   226,956x = 341,412.75 × 341,412.75
4. Step 4: Simplify right side
   226,956x = 116,562,665,862.56
5. Step 5: Solve for x
   x = 116,562,665,862.56/226,956
6. Step 6: Final answer
   x = 513,591.47