Finding the Third Proportional to 64,456 and 138,785.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,456 : 138,785.50 = 138,785.50 : x
2. Step 2: Convert to fraction form
   64,456/138,785.50 = 138,785.50/x
3. Step 3: Cross multiply
   64,456x = 138,785.50 × 138,785.50
4. Step 4: Simplify right side
   64,456x = 19,261,415,010.25
5. Step 5: Solve for x
   x = 19,261,415,010.25/64,456
6. Step 6: Final answer
   x = 298,830.44