Finding the Third Proportional to 291,222 and 456,922

Step by Step Solution

1. Step 1: Write the proportion equation
   291,222 : 456,922 = 456,922 : x
2. Step 2: Convert to fraction form
   291,222/456,922 = 456,922/x
3. Step 3: Cross multiply
   291,222x = 456,922 × 456,922
4. Step 4: Simplify right side
   291,222x = 208,777,714,084
5. Step 5: Solve for x
   x = 208,777,714,084/291,222
6. Step 6: Final answer
   x = 716,902.27