Finding the Third Proportional to 154,566 and 325,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   154,566 : 325,737.50 = 325,737.50 : x
2. Step 2: Convert to fraction form
   154,566/325,737.50 = 325,737.50/x
3. Step 3: Cross multiply
   154,566x = 325,737.50 × 325,737.50
4. Step 4: Simplify right side
   154,566x = 106,104,918,906.25
5. Step 5: Solve for x
   x = 106,104,918,906.25/154,566
6. Step 6: Final answer
   x = 686,469.98