Finding the Third Proportional to 103,666 and 226,090

Step by Step Solution

1. Step 1: Write the proportion equation
   103,666 : 226,090 = 226,090 : x
2. Step 2: Convert to fraction form
   103,666/226,090 = 226,090/x
3. Step 3: Cross multiply
   103,666x = 226,090 × 226,090
4. Step 4: Simplify right side
   103,666x = 51,116,688,100
5. Step 5: Solve for x
   x = 51,116,688,100/103,666
6. Step 6: Final answer
   x = 493,090.19