Finding the Third Proportional to 101,929.50 and 146,819.25

Step by Step Solution

1. Step 1: Write the proportion equation
   101,929.50 : 146,819.25 = 146,819.25 : x
2. Step 2: Convert to fraction form
   101,929.50/146,819.25 = 146,819.25/x
3. Step 3: Cross multiply
   101,929.50x = 146,819.25 × 146,819.25
4. Step 4: Simplify right side
   101,929.50x = 21,555,892,170.56
5. Step 5: Solve for x
   x = 21,555,892,170.56/101,929.50
6. Step 6: Final answer
   x = 211,478.45