Finding the Third Proportional to 123,282 and 180,535

Step by Step Solution

1. Step 1: Write the proportion equation
   123,282 : 180,535 = 180,535 : x
2. Step 2: Convert to fraction form
   123,282/180,535 = 180,535/x
3. Step 3: Cross multiply
   123,282x = 180,535 × 180,535
4. Step 4: Simplify right side
   123,282x = 32,592,886,225
5. Step 5: Solve for x
   x = 32,592,886,225/123,282
6. Step 6: Final answer
   x = 264,376.68