Finding the Third Proportional to 105,506 and 227,656

Step by Step Solution

1. Step 1: Write the proportion equation
   105,506 : 227,656 = 227,656 : x
2. Step 2: Convert to fraction form
   105,506/227,656 = 227,656/x
3. Step 3: Cross multiply
   105,506x = 227,656 × 227,656
4. Step 4: Simplify right side
   105,506x = 51,827,254,336
5. Step 5: Solve for x
   x = 51,827,254,336/105,506
6. Step 6: Final answer
   x = 491,225.66