Finding the Third Proportional to 64,678.50 and 140,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,678.50 : 140,746.50 = 140,746.50 : x
2. Step 2: Convert to fraction form
   64,678.50/140,746.50 = 140,746.50/x
3. Step 3: Cross multiply
   64,678.50x = 140,746.50 × 140,746.50
4. Step 4: Simplify right side
   64,678.50x = 19,809,577,262.25
5. Step 5: Solve for x
   x = 19,809,577,262.25/64,678.50
6. Step 6: Final answer
   x = 306,277.62