Finding the Third Proportional to 106,096.50 and 228,798

Step by Step Solution

1. Step 1: Write the proportion equation
   106,096.50 : 228,798 = 228,798 : x
2. Step 2: Convert to fraction form
   106,096.50/228,798 = 228,798/x
3. Step 3: Cross multiply
   106,096.50x = 228,798 × 228,798
4. Step 4: Simplify right side
   106,096.50x = 52,348,524,804
5. Step 5: Solve for x
   x = 52,348,524,804/106,096.50
6. Step 6: Final answer
   x = 493,404.82