Finding the Third Proportional to 101,776 and 225,784

Step by Step Solution

1. Step 1: Write the proportion equation
   101,776 : 225,784 = 225,784 : x
2. Step 2: Convert to fraction form
   101,776/225,784 = 225,784/x
3. Step 3: Cross multiply
   101,776x = 225,784 × 225,784
4. Step 4: Simplify right side
   101,776x = 50,978,414,656
5. Step 5: Solve for x
   x = 50,978,414,656/101,776
6. Step 6: Final answer
   x = 500,888.37