Finding the Third Proportional to 105,736.50 and 154,385.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105,736.50 : 154,385.25 = 154,385.25 : x
2. Step 2: Convert to fraction form
   105,736.50/154,385.25 = 154,385.25/x
3. Step 3: Cross multiply
   105,736.50x = 154,385.25 × 154,385.25
4. Step 4: Simplify right side
   105,736.50x = 23,834,805,417.56
5. Step 5: Solve for x
   x = 23,834,805,417.56/105,736.50
6. Step 6: Final answer
   x = 225,417.01