Finding the Third Proportional to 151,291.50 and 200,692.50

Step by Step Solution

1. Step 1: Write the proportion equation
   151,291.50 : 200,692.50 = 200,692.50 : x
2. Step 2: Convert to fraction form
   151,291.50/200,692.50 = 200,692.50/x
3. Step 3: Cross multiply
   151,291.50x = 200,692.50 × 200,692.50
4. Step 4: Simplify right side
   151,291.50x = 40,277,479,556.25
5. Step 5: Solve for x
   x = 40,277,479,556.25/151,291.50
6. Step 6: Final answer
   x = 266,224.34