Finding the Third Proportional to 221,544 and 456,096

Step by Step Solution

1. Step 1: Write the proportion equation
   221,544 : 456,096 = 456,096 : x
2. Step 2: Convert to fraction form
   221,544/456,096 = 456,096/x
3. Step 3: Cross multiply
   221,544x = 456,096 × 456,096
4. Step 4: Simplify right side
   221,544x = 208,023,561,216
5. Step 5: Solve for x
   x = 208,023,561,216/221,544
6. Step 6: Final answer
   x = 938,971.77