Finding the Third Proportional to 100,926 and 240,003

Step by Step Solution

1. Step 1: Write the proportion equation
   100,926 : 240,003 = 240,003 : x
2. Step 2: Convert to fraction form
   100,926/240,003 = 240,003/x
3. Step 3: Cross multiply
   100,926x = 240,003 × 240,003
4. Step 4: Simplify right side
   100,926x = 57,601,440,009
5. Step 5: Solve for x
   x = 57,601,440,009/100,926
6. Step 6: Final answer
   x = 570,729.45