Finding the Third Proportional to 114,833 and 243,564

Step by Step Solution

1. Step 1: Write the proportion equation
   114,833 : 243,564 = 243,564 : x
2. Step 2: Convert to fraction form
   114,833/243,564 = 243,564/x
3. Step 3: Cross multiply
   114,833x = 243,564 × 243,564
4. Step 4: Simplify right side
   114,833x = 59,323,422,096
5. Step 5: Solve for x
   x = 59,323,422,096/114,833
6. Step 6: Final answer
   x = 516,606.05