Finding the Third Proportional to 64,114 and 140,322

Step by Step Solution

1. Step 1: Write the proportion equation
   64,114 : 140,322 = 140,322 : x
2. Step 2: Convert to fraction form
   64,114/140,322 = 140,322/x
3. Step 3: Cross multiply
   64,114x = 140,322 × 140,322
4. Step 4: Simplify right side
   64,114x = 19,690,263,684
5. Step 5: Solve for x
   x = 19,690,263,684/64,114
6. Step 6: Final answer
   x = 307,113.32