Finding the Third Proportional to 115,843.50 and 162,263.25

Step by Step Solution

1. Step 1: Write the proportion equation
   115,843.50 : 162,263.25 = 162,263.25 : x
2. Step 2: Convert to fraction form
   115,843.50/162,263.25 = 162,263.25/x
3. Step 3: Cross multiply
   115,843.50x = 162,263.25 × 162,263.25
4. Step 4: Simplify right side
   115,843.50x = 26,329,362,300.56
5. Step 5: Solve for x
   x = 26,329,362,300.56/115,843.50
6. Step 6: Final answer
   x = 227,283.90