Finding the Third Proportional to 270,944 and 402,490.50

Step by Step Solution

1. Step 1: Write the proportion equation
   270,944 : 402,490.50 = 402,490.50 : x
2. Step 2: Convert to fraction form
   270,944/402,490.50 = 402,490.50/x
3. Step 3: Cross multiply
   270,944x = 402,490.50 × 402,490.50
4. Step 4: Simplify right side
   270,944x = 161,998,602,590.25
5. Step 5: Solve for x
   x = 161,998,602,590.25/270,944
6. Step 6: Final answer
   x = 597,904.37