Finding the Third Proportional to 109,346 and 231,364

Step by Step Solution

1. Step 1: Write the proportion equation
   109,346 : 231,364 = 231,364 : x
2. Step 2: Convert to fraction form
   109,346/231,364 = 231,364/x
3. Step 3: Cross multiply
   109,346x = 231,364 × 231,364
4. Step 4: Simplify right side
   109,346x = 53,529,300,496
5. Step 5: Solve for x
   x = 53,529,300,496/109,346
6. Step 6: Final answer
   x = 489,540.55