Finding the Third Proportional to 96,321 and 146,158.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,321 : 146,158.50 = 146,158.50 : x
2. Step 2: Convert to fraction form
   96,321/146,158.50 = 146,158.50/x
3. Step 3: Cross multiply
   96,321x = 146,158.50 × 146,158.50
4. Step 4: Simplify right side
   96,321x = 21,362,307,122.25
5. Step 5: Solve for x
   x = 21,362,307,122.25/96,321
6. Step 6: Final answer
   x = 221,782.45