Finding the Third Proportional to 123,460.50 and 180,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,460.50 : 180,802.50 = 180,802.50 : x
2. Step 2: Convert to fraction form
   123,460.50/180,802.50 = 180,802.50/x
3. Step 3: Cross multiply
   123,460.50x = 180,802.50 × 180,802.50
4. Step 4: Simplify right side
   123,460.50x = 32,689,544,006.25
5. Step 5: Solve for x
   x = 32,689,544,006.25/123,460.50
6. Step 6: Final answer
   x = 264,777.35