Finding the Third Proportional to 65,853 and 141,699.38

Step by Step Solution

1. Step 1: Write the proportion equation
   65,853 : 141,699.38 = 141,699.38 : x
2. Step 2: Convert to fraction form
   65,853/141,699.38 = 141,699.38/x
3. Step 3: Cross multiply
   65,853x = 141,699.38 × 141,699.38
4. Step 4: Simplify right side
   65,853x = 20,078,712,875.39
5. Step 5: Solve for x
   x = 20,078,712,875.39/65,853
6. Step 6: Final answer
   x = 304,902.02