Finding the Third Proportional to 123,241.50 and 266,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,241.50 : 266,152.50 = 266,152.50 : x
2. Step 2: Convert to fraction form
   123,241.50/266,152.50 = 266,152.50/x
3. Step 3: Cross multiply
   123,241.50x = 266,152.50 × 266,152.50
4. Step 4: Simplify right side
   123,241.50x = 70,837,153,256.25
5. Step 5: Solve for x
   x = 70,837,153,256.25/123,241.50
6. Step 6: Final answer
   x = 574,783.28