Finding the Third Proportional to 65,893 and 141,792

Step by Step Solution

1. Step 1: Write the proportion equation
   65,893 : 141,792 = 141,792 : x
2. Step 2: Convert to fraction form
   65,893/141,792 = 141,792/x
3. Step 3: Cross multiply
   65,893x = 141,792 × 141,792
4. Step 4: Simplify right side
   65,893x = 20,104,971,264
5. Step 5: Solve for x
   x = 20,104,971,264/65,893
6. Step 6: Final answer
   x = 305,115.43