Finding the Third Proportional to 96,748.50 and 146,582.25

Step by Step Solution

1. Step 1: Write the proportion equation
   96,748.50 : 146,582.25 = 146,582.25 : x
2. Step 2: Convert to fraction form
   96,748.50/146,582.25 = 146,582.25/x
3. Step 3: Cross multiply
   96,748.50x = 146,582.25 × 146,582.25
4. Step 4: Simplify right side
   96,748.50x = 21,486,356,015.06
5. Step 5: Solve for x
   x = 21,486,356,015.06/96,748.50
6. Step 6: Final answer
   x = 222,084.64