Finding the Third Proportional to 111,368 and 233,671

Step by Step Solution

1. Step 1: Write the proportion equation
   111,368 : 233,671 = 233,671 : x
2. Step 2: Convert to fraction form
   111,368/233,671 = 233,671/x
3. Step 3: Cross multiply
   111,368x = 233,671 × 233,671
4. Step 4: Simplify right side
   111,368x = 54,602,136,241
5. Step 5: Solve for x
   x = 54,602,136,241/111,368
6. Step 6: Final answer
   x = 490,285.69