Finding the Third Proportional to 96,759 and 146,596.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,759 : 146,596.50 = 146,596.50 : x
2. Step 2: Convert to fraction form
   96,759/146,596.50 = 146,596.50/x
3. Step 3: Cross multiply
   96,759x = 146,596.50 × 146,596.50
4. Step 4: Simplify right side
   96,759x = 21,490,533,812.25
5. Step 5: Solve for x
   x = 21,490,533,812.25/96,759
6. Step 6: Final answer
   x = 222,103.72