Finding the Third Proportional to 91,698 and 140,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,698 : 140,269.50 = 140,269.50 : x
2. Step 2: Convert to fraction form
   91,698/140,269.50 = 140,269.50/x
3. Step 3: Cross multiply
   91,698x = 140,269.50 × 140,269.50
4. Step 4: Simplify right side
   91,698x = 19,675,532,630.25
5. Step 5: Solve for x
   x = 19,675,532,630.25/91,698
6. Step 6: Final answer
   x = 214,568.83