Finding the Third Proportional to 91,851 and 140,503.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,851 : 140,503.50 = 140,503.50 : x
2. Step 2: Convert to fraction form
   91,851/140,503.50 = 140,503.50/x
3. Step 3: Cross multiply
   91,851x = 140,503.50 × 140,503.50
4. Step 4: Simplify right side
   91,851x = 19,741,233,512.25
5. Step 5: Solve for x
   x = 19,741,233,512.25/91,851
6. Step 6: Final answer
   x = 214,926.71