Finding the Third Proportional to 152,023 and 326,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,023 : 326,185.50 = 326,185.50 : x
2. Step 2: Convert to fraction form
   152,023/326,185.50 = 326,185.50/x
3. Step 3: Cross multiply
   152,023x = 326,185.50 × 326,185.50
4. Step 4: Simplify right side
   152,023x = 106,396,980,410.25
5. Step 5: Solve for x
   x = 106,396,980,410.25/152,023
6. Step 6: Final answer
   x = 699,874.23