Finding the Third Proportional to 96,762 and 146,601.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,762 : 146,601.50 = 146,601.50 : x
2. Step 2: Convert to fraction form
   96,762/146,601.50 = 146,601.50/x
3. Step 3: Cross multiply
   96,762x = 146,601.50 × 146,601.50
4. Step 4: Simplify right side
   96,762x = 21,491,999,802.25
5. Step 5: Solve for x
   x = 21,491,999,802.25/96,762
6. Step 6: Final answer
   x = 222,111.98