Finding the Third Proportional to 123,498 and 180,859.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,498 : 180,859.50 = 180,859.50 : x
2. Step 2: Convert to fraction form
   123,498/180,859.50 = 180,859.50/x
3. Step 3: Cross multiply
   123,498x = 180,859.50 × 180,859.50
4. Step 4: Simplify right side
   123,498x = 32,710,158,740.25
5. Step 5: Solve for x
   x = 32,710,158,740.25/123,498
6. Step 6: Final answer
   x = 264,863.87