Finding the Third Proportional to 226,044 and 341,978.63

Step by Step Solution

1. Step 1: Write the proportion equation
   226,044 : 341,978.63 = 341,978.63 : x
2. Step 2: Convert to fraction form
   226,044/341,978.63 = 341,978.63/x
3. Step 3: Cross multiply
   226,044x = 341,978.63 × 341,978.63
4. Step 4: Simplify right side
   226,044x = 116,949,379,956.89
5. Step 5: Solve for x
   x = 116,949,379,956.89/226,044
6. Step 6: Final answer
   x = 517,374.40