Finding the Third Proportional to 91,686 and 140,253.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,686 : 140,253.50 = 140,253.50 : x
2. Step 2: Convert to fraction form
   91,686/140,253.50 = 140,253.50/x
3. Step 3: Cross multiply
   91,686x = 140,253.50 × 140,253.50
4. Step 4: Simplify right side
   91,686x = 19,671,044,262.25
5. Step 5: Solve for x
   x = 19,671,044,262.25/91,686
6. Step 6: Final answer
   x = 214,547.96