Finding the Third Proportional to 64,085 and 137,648

Step by Step Solution

1. Step 1: Write the proportion equation
   64,085 : 137,648 = 137,648 : x
2. Step 2: Convert to fraction form
   64,085/137,648 = 137,648/x
3. Step 3: Cross multiply
   64,085x = 137,648 × 137,648
4. Step 4: Simplify right side
   64,085x = 18,946,971,904
5. Step 5: Solve for x
   x = 18,946,971,904/64,085
6. Step 6: Final answer
   x = 295,653.77