Finding the Third Proportional to 152,066 and 325,444

Step by Step Solution

1. Step 1: Write the proportion equation
   152,066 : 325,444 = 325,444 : x
2. Step 2: Convert to fraction form
   152,066/325,444 = 325,444/x
3. Step 3: Cross multiply
   152,066x = 325,444 × 325,444
4. Step 4: Simplify right side
   152,066x = 105,913,797,136
5. Step 5: Solve for x
   x = 105,913,797,136/152,066
6. Step 6: Final answer
   x = 696,498.87