Finding the Third Proportional to 149,544 and 322,566.75

Step by Step Solution

1. Step 1: Write the proportion equation
   149,544 : 322,566.75 = 322,566.75 : x
2. Step 2: Convert to fraction form
   149,544/322,566.75 = 322,566.75/x
3. Step 3: Cross multiply
   149,544x = 322,566.75 × 322,566.75
4. Step 4: Simplify right side
   149,544x = 104,049,308,205.56
5. Step 5: Solve for x
   x = 104,049,308,205.56/149,544
6. Step 6: Final answer
   x = 695,777.22