Finding the Third Proportional to 123,412.50 and 180,441

Step by Step Solution

1. Step 1: Write the proportion equation
   123,412.50 : 180,441 = 180,441 : x
2. Step 2: Convert to fraction form
   123,412.50/180,441 = 180,441/x
3. Step 3: Cross multiply
   123,412.50x = 180,441 × 180,441
4. Step 4: Simplify right side
   123,412.50x = 32,558,954,481
5. Step 5: Solve for x
   x = 32,558,954,481/123,412.50
6. Step 6: Final answer
   x = 263,822.18