Finding the Third Proportional to 162,205.50 and 355,987.50

Step by Step Solution

1. Step 1: Write the proportion equation
   162,205.50 : 355,987.50 = 355,987.50 : x
2. Step 2: Convert to fraction form
   162,205.50/355,987.50 = 355,987.50/x
3. Step 3: Cross multiply
   162,205.50x = 355,987.50 × 355,987.50
4. Step 4: Simplify right side
   162,205.50x = 126,727,100,156.25
5. Step 5: Solve for x
   x = 126,727,100,156.25/162,205.50
6. Step 6: Final answer
   x = 781,274.99