Finding the Third Proportional to 270,885 and 402,427.50

Step by Step Solution

1. Step 1: Write the proportion equation
   270,885 : 402,427.50 = 402,427.50 : x
2. Step 2: Convert to fraction form
   270,885/402,427.50 = 402,427.50/x
3. Step 3: Cross multiply
   270,885x = 402,427.50 × 402,427.50
4. Step 4: Simplify right side
   270,885x = 161,947,892,756.25
5. Step 5: Solve for x
   x = 161,947,892,756.25/270,885
6. Step 6: Final answer
   x = 597,847.40