Finding the Third Proportional to 79,998 and 185,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   79,998 : 185,200.50 = 185,200.50 : x
2. Step 2: Convert to fraction form
   79,998/185,200.50 = 185,200.50/x
3. Step 3: Cross multiply
   79,998x = 185,200.50 × 185,200.50
4. Step 4: Simplify right side
   79,998x = 34,299,225,200.25
5. Step 5: Solve for x
   x = 34,299,225,200.25/79,998
6. Step 6: Final answer
   x = 428,751.03