Finding the Third Proportional to 109,875 and 236,814

Step by Step Solution

1. Step 1: Write the proportion equation
   109,875 : 236,814 = 236,814 : x
2. Step 2: Convert to fraction form
   109,875/236,814 = 236,814/x
3. Step 3: Cross multiply
   109,875x = 236,814 × 236,814
4. Step 4: Simplify right side
   109,875x = 56,080,870,596
5. Step 5: Solve for x
   x = 56,080,870,596/109,875
6. Step 6: Final answer
   x = 510,406.10