Finding the Third Proportional to 100,965 and 146,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,965 : 146,746.50 = 146,746.50 : x
2. Step 2: Convert to fraction form
   100,965/146,746.50 = 146,746.50/x
3. Step 3: Cross multiply
   100,965x = 146,746.50 × 146,746.50
4. Step 4: Simplify right side
   100,965x = 21,534,535,262.25
5. Step 5: Solve for x
   x = 21,534,535,262.25/100,965
6. Step 6: Final answer
   x = 213,287.13