Finding the Third Proportional to 105,681 and 154,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,681 : 154,633.50 = 154,633.50 : x
2. Step 2: Convert to fraction form
   105,681/154,633.50 = 154,633.50/x
3. Step 3: Cross multiply
   105,681x = 154,633.50 × 154,633.50
4. Step 4: Simplify right side
   105,681x = 23,911,519,322.25
5. Step 5: Solve for x
   x = 23,911,519,322.25/105,681
6. Step 6: Final answer
   x = 226,261.29