Finding the Third Proportional to 109,216 and 238,196

Step by Step Solution

1. Step 1: Write the proportion equation
   109,216 : 238,196 = 238,196 : x
2. Step 2: Convert to fraction form
   109,216/238,196 = 238,196/x
3. Step 3: Cross multiply
   109,216x = 238,196 × 238,196
4. Step 4: Simplify right side
   109,216x = 56,737,334,416
5. Step 5: Solve for x
   x = 56,737,334,416/109,216
6. Step 6: Final answer
   x = 519,496.54