Finding the Third Proportional to 105,798 and 226,152.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105,798 : 226,152.75 = 226,152.75 : x
2. Step 2: Convert to fraction form
   105,798/226,152.75 = 226,152.75/x
3. Step 3: Cross multiply
   105,798x = 226,152.75 × 226,152.75
4. Step 4: Simplify right side
   105,798x = 51,145,066,332.56
5. Step 5: Solve for x
   x = 51,145,066,332.56/105,798
6. Step 6: Final answer
   x = 483,421.86