Finding the Third Proportional to 91,742.50 and 140,348.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,742.50 : 140,348.50 = 140,348.50 : x
2. Step 2: Convert to fraction form
   91,742.50/140,348.50 = 140,348.50/x
3. Step 3: Cross multiply
   91,742.50x = 140,348.50 × 140,348.50
4. Step 4: Simplify right side
   91,742.50x = 19,697,701,452.25
5. Step 5: Solve for x
   x = 19,697,701,452.25/91,742.50
6. Step 6: Final answer
   x = 214,706.40