Finding the Third Proportional to 64,096 and 140,254

Step by Step Solution

1. Step 1: Write the proportion equation
   64,096 : 140,254 = 140,254 : x
2. Step 2: Convert to fraction form
   64,096/140,254 = 140,254/x
3. Step 3: Cross multiply
   64,096x = 140,254 × 140,254
4. Step 4: Simplify right side
   64,096x = 19,671,184,516
5. Step 5: Solve for x
   x = 19,671,184,516/64,096
6. Step 6: Final answer
   x = 306,901.91