Finding the Third Proportional to 123,264 and 180,508.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,264 : 180,508.50 = 180,508.50 : x
2. Step 2: Convert to fraction form
   123,264/180,508.50 = 180,508.50/x
3. Step 3: Cross multiply
   123,264x = 180,508.50 × 180,508.50
4. Step 4: Simplify right side
   123,264x = 32,583,318,572.25
5. Step 5: Solve for x
   x = 32,583,318,572.25/123,264
6. Step 6: Final answer
   x = 264,337.67