Finding the Third Proportional to 91,688 and 140,257

Step by Step Solution

1. Step 1: Write the proportion equation
   91,688 : 140,257 = 140,257 : x
2. Step 2: Convert to fraction form
   91,688/140,257 = 140,257/x
3. Step 3: Cross multiply
   91,688x = 140,257 × 140,257
4. Step 4: Simplify right side
   91,688x = 19,672,026,049
5. Step 5: Solve for x
   x = 19,672,026,049/91,688
6. Step 6: Final answer
   x = 214,553.99