Finding the Third Proportional to 103,833 and 162,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,833 : 162,697.50 = 162,697.50 : x
2. Step 2: Convert to fraction form
   103,833/162,697.50 = 162,697.50/x
3. Step 3: Cross multiply
   103,833x = 162,697.50 × 162,697.50
4. Step 4: Simplify right side
   103,833x = 26,470,476,506.25
5. Step 5: Solve for x
   x = 26,470,476,506.25/103,833
6. Step 6: Final answer
   x = 254,933.18