Finding the Third Proportional to 64,558 and 139,004

Step by Step Solution

1. Step 1: Write the proportion equation
   64,558 : 139,004 = 139,004 : x
2. Step 2: Convert to fraction form
   64,558/139,004 = 139,004/x
3. Step 3: Cross multiply
   64,558x = 139,004 × 139,004
4. Step 4: Simplify right side
   64,558x = 19,322,112,016
5. Step 5: Solve for x
   x = 19,322,112,016/64,558
6. Step 6: Final answer
   x = 299,298.49