Finding the Third Proportional to 109,138 and 234,222.75

Step by Step Solution

1. Step 1: Write the proportion equation
   109,138 : 234,222.75 = 234,222.75 : x
2. Step 2: Convert to fraction form
   109,138/234,222.75 = 234,222.75/x
3. Step 3: Cross multiply
   109,138x = 234,222.75 × 234,222.75
4. Step 4: Simplify right side
   109,138x = 54,860,296,617.56
5. Step 5: Solve for x
   x = 54,860,296,617.56/109,138
6. Step 6: Final answer
   x = 502,669.07