Finding the Third Proportional to 96,893 and 141,505

Step by Step Solution

1. Step 1: Write the proportion equation
   96,893 : 141,505 = 141,505 : x
2. Step 2: Convert to fraction form
   96,893/141,505 = 141,505/x
3. Step 3: Cross multiply
   96,893x = 141,505 × 141,505
4. Step 4: Simplify right side
   96,893x = 20,023,665,025
5. Step 5: Solve for x
   x = 20,023,665,025/96,893
6. Step 6: Final answer
   x = 206,657.50