Finding the Third Proportional to 64,264 and 100,496

Step by Step Solution

1. Step 1: Write the proportion equation
   64,264 : 100,496 = 100,496 : x
2. Step 2: Convert to fraction form
   64,264/100,496 = 100,496/x
3. Step 3: Cross multiply
   64,264x = 100,496 × 100,496
4. Step 4: Simplify right side
   64,264x = 10,099,446,016
5. Step 5: Solve for x
   x = 10,099,446,016/64,264
6. Step 6: Final answer
   x = 157,155.58