Finding the Third Proportional to 152,664 and 325,616.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,664 : 325,616.50 = 325,616.50 : x
2. Step 2: Convert to fraction form
   152,664/325,616.50 = 325,616.50/x
3. Step 3: Cross multiply
   152,664x = 325,616.50 × 325,616.50
4. Step 4: Simplify right side
   152,664x = 106,026,105,072.25
5. Step 5: Solve for x
   x = 106,026,105,072.25/152,664
6. Step 6: Final answer
   x = 694,506.27