Finding the Third Proportional to 152,801 and 361,290.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,801 : 361,290.50 = 361,290.50 : x
2. Step 2: Convert to fraction form
   152,801/361,290.50 = 361,290.50/x
3. Step 3: Cross multiply
   152,801x = 361,290.50 × 361,290.50
4. Step 4: Simplify right side
   152,801x = 130,530,825,390.25
5. Step 5: Solve for x
   x = 130,530,825,390.25/152,801
6. Step 6: Final answer
   x = 854,253.74