Finding the Third Proportional to 105,870.38 and 226,094.63

Step by Step Solution

1. Step 1: Write the proportion equation
   105,870.38 : 226,094.63 = 226,094.63 : x
2. Step 2: Convert to fraction form
   105,870.38/226,094.63 = 226,094.63/x
3. Step 3: Cross multiply
   105,870.38x = 226,094.63 × 226,094.63
4. Step 4: Simplify right side
   105,870.38x = 51,118,779,453.89
5. Step 5: Solve for x
   x = 51,118,779,453.89/105,870.38
6. Step 6: Final answer
   x = 482,843.09