Finding the Third Proportional to 123,467 and 180,483.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,467 : 180,483.50 = 180,483.50 : x
2. Step 2: Convert to fraction form
   123,467/180,483.50 = 180,483.50/x
3. Step 3: Cross multiply
   123,467x = 180,483.50 × 180,483.50
4. Step 4: Simplify right side
   123,467x = 32,574,293,772.25
5. Step 5: Solve for x
   x = 32,574,293,772.25/123,467
6. Step 6: Final answer
   x = 263,829.96