Finding the Third Proportional to 109,683 and 238,158

Step by Step Solution

1. Step 1: Write the proportion equation
   109,683 : 238,158 = 238,158 : x
2. Step 2: Convert to fraction form
   109,683/238,158 = 238,158/x
3. Step 3: Cross multiply
   109,683x = 238,158 × 238,158
4. Step 4: Simplify right side
   109,683x = 56,719,232,964
5. Step 5: Solve for x
   x = 56,719,232,964/109,683
6. Step 6: Final answer
   x = 517,119.64