Finding the Third Proportional to 123,365.95 and 269,042.34

Step by Step Solution

1. Step 1: Write the proportion equation
   123,365.95 : 269,042.34 = 269,042.34 : x
2. Step 2: Convert to fraction form
   123,365.95/269,042.34 = 269,042.34/x
3. Step 3: Cross multiply
   123,365.95x = 269,042.34 × 269,042.34
4. Step 4: Simplify right side
   123,365.95x = 72,383,782,730.49
5. Step 5: Solve for x
   x = 72,383,782,730.49/123,365.95
6. Step 6: Final answer
   x = 586,740.35