Finding the Third Proportional to 102,242.25 and 223,074

Step by Step Solution

1. Step 1: Write the proportion equation
   102,242.25 : 223,074 = 223,074 : x
2. Step 2: Convert to fraction form
   102,242.25/223,074 = 223,074/x
3. Step 3: Cross multiply
   102,242.25x = 223,074 × 223,074
4. Step 4: Simplify right side
   102,242.25x = 49,762,009,476
5. Step 5: Solve for x
   x = 49,762,009,476/102,242.25
6. Step 6: Final answer
   x = 486,706.91