Finding the Third Proportional to 109,139 and 235,774

Step by Step Solution

1. Step 1: Write the proportion equation
   109,139 : 235,774 = 235,774 : x
2. Step 2: Convert to fraction form
   109,139/235,774 = 235,774/x
3. Step 3: Cross multiply
   109,139x = 235,774 × 235,774
4. Step 4: Simplify right side
   109,139x = 55,589,379,076
5. Step 5: Solve for x
   x = 55,589,379,076/109,139
6. Step 6: Final answer
   x = 509,344.77