Finding the Third Proportional to 105,003 and 168,437.81

Step by Step Solution

1. Step 1: Write the proportion equation
   105,003 : 168,437.81 = 168,437.81 : x
2. Step 2: Convert to fraction form
   105,003/168,437.81 = 168,437.81/x
3. Step 3: Cross multiply
   105,003x = 168,437.81 × 168,437.81
4. Step 4: Simplify right side
   105,003x = 28,371,296,679.79
5. Step 5: Solve for x
   x = 28,371,296,679.79/105,003
6. Step 6: Final answer
   x = 270,195.11