Finding the Third Proportional to 57,412 and 83,849

Step by Step Solution

1. Step 1: Write the proportion equation
   57,412 : 83,849 = 83,849 : x
2. Step 2: Convert to fraction form
   57,412/83,849 = 83,849/x
3. Step 3: Cross multiply
   57,412x = 83,849 × 83,849
4. Step 4: Simplify right side
   57,412x = 7,030,654,801
5. Step 5: Solve for x
   x = 7,030,654,801/57,412
6. Step 6: Final answer
   x = 122,459.67