Finding the Third Proportional to 107,334 and 233,109

Step by Step Solution

1. Step 1: Write the proportion equation
   107,334 : 233,109 = 233,109 : x
2. Step 2: Convert to fraction form
   107,334/233,109 = 233,109/x
3. Step 3: Cross multiply
   107,334x = 233,109 × 233,109
4. Step 4: Simplify right side
   107,334x = 54,339,805,881
5. Step 5: Solve for x
   x = 54,339,805,881/107,334
6. Step 6: Final answer
   x = 506,268.34