Finding the Third Proportional to 64,911 and 139,516

Step by Step Solution

1. Step 1: Write the proportion equation
   64,911 : 139,516 = 139,516 : x
2. Step 2: Convert to fraction form
   64,911/139,516 = 139,516/x
3. Step 3: Cross multiply
   64,911x = 139,516 × 139,516
4. Step 4: Simplify right side
   64,911x = 19,464,714,256
5. Step 5: Solve for x
   x = 19,464,714,256/64,911
6. Step 6: Final answer
   x = 299,867.73