Finding the Third Proportional to 151,686 and 204,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   151,686 : 204,199.50 = 204,199.50 : x
2. Step 2: Convert to fraction form
   151,686/204,199.50 = 204,199.50/x
3. Step 3: Cross multiply
   151,686x = 204,199.50 × 204,199.50
4. Step 4: Simplify right side
   151,686x = 41,697,435,800.25
5. Step 5: Solve for x
   x = 41,697,435,800.25/151,686
6. Step 6: Final answer
   x = 274,893.11