Finding the Third Proportional to 123,273 and 180,522

Step by Step Solution

1. Step 1: Write the proportion equation
   123,273 : 180,522 = 180,522 : x
2. Step 2: Convert to fraction form
   123,273/180,522 = 180,522/x
3. Step 3: Cross multiply
   123,273x = 180,522 × 180,522
4. Step 4: Simplify right side
   123,273x = 32,588,192,484
5. Step 5: Solve for x
   x = 32,588,192,484/123,273
6. Step 6: Final answer
   x = 264,357.91