Finding the Third Proportional to 123,085.50 and 265,005

Step by Step Solution

1. Step 1: Write the proportion equation
   123,085.50 : 265,005 = 265,005 : x
2. Step 2: Convert to fraction form
   123,085.50/265,005 = 265,005/x
3. Step 3: Cross multiply
   123,085.50x = 265,005 × 265,005
4. Step 4: Simplify right side
   123,085.50x = 70,227,650,025
5. Step 5: Solve for x
   x = 70,227,650,025/123,085.50
6. Step 6: Final answer
   x = 570,559.90