Finding the Third Proportional to 91,733 and 140,335

Step by Step Solution

1. Step 1: Write the proportion equation
   91,733 : 140,335 = 140,335 : x
2. Step 2: Convert to fraction form
   91,733/140,335 = 140,335/x
3. Step 3: Cross multiply
   91,733x = 140,335 × 140,335
4. Step 4: Simplify right side
   91,733x = 19,693,912,225
5. Step 5: Solve for x
   x = 19,693,912,225/91,733
6. Step 6: Final answer
   x = 214,687.32