Finding the Third Proportional to 107,333 and 233,116

Step by Step Solution

1. Step 1: Write the proportion equation
   107,333 : 233,116 = 233,116 : x
2. Step 2: Convert to fraction form
   107,333/233,116 = 233,116/x
3. Step 3: Cross multiply
   107,333x = 233,116 × 233,116
4. Step 4: Simplify right side
   107,333x = 54,343,069,456
5. Step 5: Solve for x
   x = 54,343,069,456/107,333
6. Step 6: Final answer
   x = 506,303.46