Finding the Third Proportional to 109,678 and 238,146

Step by Step Solution

1. Step 1: Write the proportion equation
   109,678 : 238,146 = 238,146 : x
2. Step 2: Convert to fraction form
   109,678/238,146 = 238,146/x
3. Step 3: Cross multiply
   109,678x = 238,146 × 238,146
4. Step 4: Simplify right side
   109,678x = 56,713,517,316
5. Step 5: Solve for x
   x = 56,713,517,316/109,678
6. Step 6: Final answer
   x = 517,091.10