Finding the Third Proportional to 64,518.50 and 138,924.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,518.50 : 138,924.50 = 138,924.50 : x
2. Step 2: Convert to fraction form
   64,518.50/138,924.50 = 138,924.50/x
3. Step 3: Cross multiply
   64,518.50x = 138,924.50 × 138,924.50
4. Step 4: Simplify right side
   64,518.50x = 19,300,016,700.25
5. Step 5: Solve for x
   x = 19,300,016,700.25/64,518.50
6. Step 6: Final answer
   x = 299,139.27