Finding the Third Proportional to 64,462 and 138,446.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,462 : 138,446.50 = 138,446.50 : x
2. Step 2: Convert to fraction form
   64,462/138,446.50 = 138,446.50/x
3. Step 3: Cross multiply
   64,462x = 138,446.50 × 138,446.50
4. Step 4: Simplify right side
   64,462x = 19,167,433,362.25
5. Step 5: Solve for x
   x = 19,167,433,362.25/64,462
6. Step 6: Final answer
   x = 297,344.69