Finding the Third Proportional to 105,516 and 163,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,516 : 163,162.50 = 163,162.50 : x
2. Step 2: Convert to fraction form
   105,516/163,162.50 = 163,162.50/x
3. Step 3: Cross multiply
   105,516x = 163,162.50 × 163,162.50
4. Step 4: Simplify right side
   105,516x = 26,622,001,406.25
5. Step 5: Solve for x
   x = 26,622,001,406.25/105,516
6. Step 6: Final answer
   x = 252,302.98