Finding the Third Proportional to 109,075 and 231,332

Step by Step Solution

1. Step 1: Write the proportion equation
   109,075 : 231,332 = 231,332 : x
2. Step 2: Convert to fraction form
   109,075/231,332 = 231,332/x
3. Step 3: Cross multiply
   109,075x = 231,332 × 231,332
4. Step 4: Simplify right side
   109,075x = 53,514,494,224
5. Step 5: Solve for x
   x = 53,514,494,224/109,075
6. Step 6: Final answer
   x = 490,621.08