Finding the Third Proportional to 101,817 and 214,290.56

Step by Step Solution

1. Step 1: Write the proportion equation
   101,817 : 214,290.56 = 214,290.56 : x
2. Step 2: Convert to fraction form
   101,817/214,290.56 = 214,290.56/x
3. Step 3: Cross multiply
   101,817x = 214,290.56 × 214,290.56
4. Step 4: Simplify right side
   101,817x = 45,920,445,176.57
5. Step 5: Solve for x
   x = 45,920,445,176.57/101,817
6. Step 6: Final answer
   x = 451,009.61