Finding the Third Proportional to 109,458 and 236,380

Step by Step Solution

1. Step 1: Write the proportion equation
   109,458 : 236,380 = 236,380 : x
2. Step 2: Convert to fraction form
   109,458/236,380 = 236,380/x
3. Step 3: Cross multiply
   109,458x = 236,380 × 236,380
4. Step 4: Simplify right side
   109,458x = 55,875,504,400
5. Step 5: Solve for x
   x = 55,875,504,400/109,458
6. Step 6: Final answer
   x = 510,474.38