Finding the Third Proportional to 270,991.50 and 402,558

Step by Step Solution

1. Step 1: Write the proportion equation
   270,991.50 : 402,558 = 402,558 : x
2. Step 2: Convert to fraction form
   270,991.50/402,558 = 402,558/x
3. Step 3: Cross multiply
   270,991.50x = 402,558 × 402,558
4. Step 4: Simplify right side
   270,991.50x = 162,052,943,364
5. Step 5: Solve for x
   x = 162,052,943,364/270,991.50
6. Step 6: Final answer
   x = 598,000.10