Finding the Third Proportional to 105,097.50 and 162,810

Step by Step Solution

1. Step 1: Write the proportion equation
   105,097.50 : 162,810 = 162,810 : x
2. Step 2: Convert to fraction form
   105,097.50/162,810 = 162,810/x
3. Step 3: Cross multiply
   105,097.50x = 162,810 × 162,810
4. Step 4: Simplify right side
   105,097.50x = 26,507,096,100
5. Step 5: Solve for x
   x = 26,507,096,100/105,097.50
6. Step 6: Final answer
   x = 252,214.34