Finding the Third Proportional to 105,799.50 and 143,526.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105,799.50 : 143,526.75 = 143,526.75 : x
2. Step 2: Convert to fraction form
   105,799.50/143,526.75 = 143,526.75/x
3. Step 3: Cross multiply
   105,799.50x = 143,526.75 × 143,526.75
4. Step 4: Simplify right side
   105,799.50x = 20,599,927,965.56
5. Step 5: Solve for x
   x = 20,599,927,965.56/105,799.50
6. Step 6: Final answer
   x = 194,707.23