Finding the Third Proportional to 127,589 and 298,011.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,589 : 298,011.50 = 298,011.50 : x
2. Step 2: Convert to fraction form
   127,589/298,011.50 = 298,011.50/x
3. Step 3: Cross multiply
   127,589x = 298,011.50 × 298,011.50
4. Step 4: Simplify right side
   127,589x = 88,810,854,132.25
5. Step 5: Solve for x
   x = 88,810,854,132.25/127,589
6. Step 6: Final answer
   x = 696,069.83