Finding the Third Proportional to 64,004 and 139,564

Step by Step Solution

1. Step 1: Write the proportion equation
   64,004 : 139,564 = 139,564 : x
2. Step 2: Convert to fraction form
   64,004/139,564 = 139,564/x
3. Step 3: Cross multiply
   64,004x = 139,564 × 139,564
4. Step 4: Simplify right side
   64,004x = 19,478,110,096
5. Step 5: Solve for x
   x = 19,478,110,096/64,004
6. Step 6: Final answer
   x = 304,326.45