Finding the Third Proportional to 102,046 and 223,784

Step by Step Solution

1. Step 1: Write the proportion equation
   102,046 : 223,784 = 223,784 : x
2. Step 2: Convert to fraction form
   102,046/223,784 = 223,784/x
3. Step 3: Cross multiply
   102,046x = 223,784 × 223,784
4. Step 4: Simplify right side
   102,046x = 50,079,278,656
5. Step 5: Solve for x
   x = 50,079,278,656/102,046
6. Step 6: Final answer
   x = 490,752.00