Finding the Third Proportional to 123,211 and 180,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,211 : 180,424.50 = 180,424.50 : x
2. Step 2: Convert to fraction form
   123,211/180,424.50 = 180,424.50/x
3. Step 3: Cross multiply
   123,211x = 180,424.50 × 180,424.50
4. Step 4: Simplify right side
   123,211x = 32,553,000,200.25
5. Step 5: Solve for x
   x = 32,553,000,200.25/123,211
6. Step 6: Final answer
   x = 264,205.31