Finding the Third Proportional to 96,861 and 146,740.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,861 : 146,740.50 = 146,740.50 : x
2. Step 2: Convert to fraction form
   96,861/146,740.50 = 146,740.50/x
3. Step 3: Cross multiply
   96,861x = 146,740.50 × 146,740.50
4. Step 4: Simplify right side
   96,861x = 21,532,774,340.25
5. Step 5: Solve for x
   x = 21,532,774,340.25/96,861
6. Step 6: Final answer
   x = 222,305.93