Finding the Third Proportional to 64,732 and 138,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,732 : 138,458.50 = 138,458.50 : x
2. Step 2: Convert to fraction form
   64,732/138,458.50 = 138,458.50/x
3. Step 3: Cross multiply
   64,732x = 138,458.50 × 138,458.50
4. Step 4: Simplify right side
   64,732x = 19,170,756,222.25
5. Step 5: Solve for x
   x = 19,170,756,222.25/64,732
6. Step 6: Final answer
   x = 296,155.78