Finding the Third Proportional to 152,976 and 324,184.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,976 : 324,184.50 = 324,184.50 : x
2. Step 2: Convert to fraction form
   152,976/324,184.50 = 324,184.50/x
3. Step 3: Cross multiply
   152,976x = 324,184.50 × 324,184.50
4. Step 4: Simplify right side
   152,976x = 105,095,590,040.25
5. Step 5: Solve for x
   x = 105,095,590,040.25/152,976
6. Step 6: Final answer
   x = 687,007.05