Finding the Third Proportional to 101,574 and 220,097.25

Step by Step Solution

1. Step 1: Write the proportion equation
   101,574 : 220,097.25 = 220,097.25 : x
2. Step 2: Convert to fraction form
   101,574/220,097.25 = 220,097.25/x
3. Step 3: Cross multiply
   101,574x = 220,097.25 × 220,097.25
4. Step 4: Simplify right side
   101,574x = 48,442,799,457.56
5. Step 5: Solve for x
   x = 48,442,799,457.56/101,574
6. Step 6: Final answer
   x = 476,921.25