Finding the Third Proportional to 123,277 and 180,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,277 : 180,523.50 = 180,523.50 : x
2. Step 2: Convert to fraction form
   123,277/180,523.50 = 180,523.50/x
3. Step 3: Cross multiply
   123,277x = 180,523.50 × 180,523.50
4. Step 4: Simplify right side
   123,277x = 32,588,734,052.25
5. Step 5: Solve for x
   x = 32,588,734,052.25/123,277
6. Step 6: Final answer
   x = 264,353.72