Finding the Third Proportional to 151,279.50 and 200,675.25

Step by Step Solution

1. Step 1: Write the proportion equation
   151,279.50 : 200,675.25 = 200,675.25 : x
2. Step 2: Convert to fraction form
   151,279.50/200,675.25 = 200,675.25/x
3. Step 3: Cross multiply
   151,279.50x = 200,675.25 × 200,675.25
4. Step 4: Simplify right side
   151,279.50x = 40,270,555,962.56
5. Step 5: Solve for x
   x = 40,270,555,962.56/151,279.50
6. Step 6: Final answer
   x = 266,199.69