Finding the Third Proportional to 105,759 and 163,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,759 : 163,837.50 = 163,837.50 : x
2. Step 2: Convert to fraction form
   105,759/163,837.50 = 163,837.50/x
3. Step 3: Cross multiply
   105,759x = 163,837.50 × 163,837.50
4. Step 4: Simplify right side
   105,759x = 26,842,726,406.25
5. Step 5: Solve for x
   x = 26,842,726,406.25/105,759
6. Step 6: Final answer
   x = 253,810.33