Finding the Third Proportional to 65,664 and 128,045.25

Step by Step Solution

1. Step 1: Write the proportion equation
   65,664 : 128,045.25 = 128,045.25 : x
2. Step 2: Convert to fraction form
   65,664/128,045.25 = 128,045.25/x
3. Step 3: Cross multiply
   65,664x = 128,045.25 × 128,045.25
4. Step 4: Simplify right side
   65,664x = 16,395,586,047.56
5. Step 5: Solve for x
   x = 16,395,586,047.56/65,664
6. Step 6: Final answer
   x = 249,689.12