Finding the Third Proportional to 107,570 and 233,284

Step by Step Solution

1. Step 1: Write the proportion equation
   107,570 : 233,284 = 233,284 : x
2. Step 2: Convert to fraction form
   107,570/233,284 = 233,284/x
3. Step 3: Cross multiply
   107,570x = 233,284 × 233,284
4. Step 4: Simplify right side
   107,570x = 54,421,424,656
5. Step 5: Solve for x
   x = 54,421,424,656/107,570
6. Step 6: Final answer
   x = 505,916.38