Finding the Third Proportional to 64,535.50 and 138,959.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,535.50 : 138,959.50 = 138,959.50 : x
2. Step 2: Convert to fraction form
   64,535.50/138,959.50 = 138,959.50/x
3. Step 3: Cross multiply
   64,535.50x = 138,959.50 × 138,959.50
4. Step 4: Simplify right side
   64,535.50x = 19,309,742,640.25
5. Step 5: Solve for x
   x = 19,309,742,640.25/64,535.50
6. Step 6: Final answer
   x = 299,211.17