Finding the Third Proportional to 107,329 and 233,111

Step by Step Solution

1. Step 1: Write the proportion equation
   107,329 : 233,111 = 233,111 : x
2. Step 2: Convert to fraction form
   107,329/233,111 = 233,111/x
3. Step 3: Cross multiply
   107,329x = 233,111 × 233,111
4. Step 4: Simplify right side
   107,329x = 54,340,738,321
5. Step 5: Solve for x
   x = 54,340,738,321/107,329
6. Step 6: Final answer
   x = 506,300.61