Finding the Third Proportional to 109,210 and 238,184

Step by Step Solution

1. Step 1: Write the proportion equation
   109,210 : 238,184 = 238,184 : x
2. Step 2: Convert to fraction form
   109,210/238,184 = 238,184/x
3. Step 3: Cross multiply
   109,210x = 238,184 × 238,184
4. Step 4: Simplify right side
   109,210x = 56,731,617,856
5. Step 5: Solve for x
   x = 56,731,617,856/109,210
6. Step 6: Final answer
   x = 519,472.74