Finding the Third Proportional to 111,114 and 180,522

Step by Step Solution

1. Step 1: Write the proportion equation
   111,114 : 180,522 = 180,522 : x
2. Step 2: Convert to fraction form
   111,114/180,522 = 180,522/x
3. Step 3: Cross multiply
   111,114x = 180,522 × 180,522
4. Step 4: Simplify right side
   111,114x = 32,588,192,484
5. Step 5: Solve for x
   x = 32,588,192,484/111,114
6. Step 6: Final answer
   x = 293,286.11