Finding the Third Proportional to 152,677.50 and 325,647

Step by Step Solution

1. Step 1: Write the proportion equation
   152,677.50 : 325,647 = 325,647 : x
2. Step 2: Convert to fraction form
   152,677.50/325,647 = 325,647/x
3. Step 3: Cross multiply
   152,677.50x = 325,647 × 325,647
4. Step 4: Simplify right side
   152,677.50x = 106,045,968,609
5. Step 5: Solve for x
   x = 106,045,968,609/152,677.50
6. Step 6: Final answer
   x = 694,574.96