Finding the Third Proportional to 109,514 and 236,416

Step by Step Solution

1. Step 1: Write the proportion equation
   109,514 : 236,416 = 236,416 : x
2. Step 2: Convert to fraction form
   109,514/236,416 = 236,416/x
3. Step 3: Cross multiply
   109,514x = 236,416 × 236,416
4. Step 4: Simplify right side
   109,514x = 55,892,525,056
5. Step 5: Solve for x
   x = 55,892,525,056/109,514
6. Step 6: Final answer
   x = 510,368.77