Finding the Third Proportional to 111,020 and 233,646

Step by Step Solution

1. Step 1: Write the proportion equation
   111,020 : 233,646 = 233,646 : x
2. Step 2: Convert to fraction form
   111,020/233,646 = 233,646/x
3. Step 3: Cross multiply
   111,020x = 233,646 × 233,646
4. Step 4: Simplify right side
   111,020x = 54,590,453,316
5. Step 5: Solve for x
   x = 54,590,453,316/111,020
6. Step 6: Final answer
   x = 491,717.29