Finding the Third Proportional to 64,308 and 100,578

Step by Step Solution

1. Step 1: Write the proportion equation
   64,308 : 100,578 = 100,578 : x
2. Step 2: Convert to fraction form
   64,308/100,578 = 100,578/x
3. Step 3: Cross multiply
   64,308x = 100,578 × 100,578
4. Step 4: Simplify right side
   64,308x = 10,115,934,084
5. Step 5: Solve for x
   x = 10,115,934,084/64,308
6. Step 6: Final answer
   x = 157,304.44