Finding the Third Proportional to 151,284.75 and 205,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   151,284.75 : 205,561.50 = 205,561.50 : x
2. Step 2: Convert to fraction form
   151,284.75/205,561.50 = 205,561.50/x
3. Step 3: Cross multiply
   151,284.75x = 205,561.50 × 205,561.50
4. Step 4: Simplify right side
   151,284.75x = 42,255,530,282.25
5. Step 5: Solve for x
   x = 42,255,530,282.25/151,284.75
6. Step 6: Final answer
   x = 279,311.23