Finding the Third Proportional to 109,090 and 231,386

Step by Step Solution

1. Step 1: Write the proportion equation
   109,090 : 231,386 = 231,386 : x
2. Step 2: Convert to fraction form
   109,090/231,386 = 231,386/x
3. Step 3: Cross multiply
   109,090x = 231,386 × 231,386
4. Step 4: Simplify right side
   109,090x = 53,539,480,996
5. Step 5: Solve for x
   x = 53,539,480,996/109,090
6. Step 6: Final answer
   x = 490,782.67