Finding the Third Proportional to 106,362 and 159,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,362 : 159,538.50 = 159,538.50 : x
2. Step 2: Convert to fraction form
   106,362/159,538.50 = 159,538.50/x
3. Step 3: Cross multiply
   106,362x = 159,538.50 × 159,538.50
4. Step 4: Simplify right side
   106,362x = 25,452,532,982.25
5. Step 5: Solve for x
   x = 25,452,532,982.25/106,362
6. Step 6: Final answer
   x = 239,301.00