Finding the Third Proportional to 123,280 and 180,532

Step by Step Solution

1. Step 1: Write the proportion equation
   123,280 : 180,532 = 180,532 : x
2. Step 2: Convert to fraction form
   123,280/180,532 = 180,532/x
3. Step 3: Cross multiply
   123,280x = 180,532 × 180,532
4. Step 4: Simplify right side
   123,280x = 32,591,803,024
5. Step 5: Solve for x
   x = 32,591,803,024/123,280
6. Step 6: Final answer
   x = 264,372.19