Finding the Third Proportional to 52,909 and 77,371

Step by Step Solution

1. Step 1: Write the proportion equation
   52,909 : 77,371 = 77,371 : x
2. Step 2: Convert to fraction form
   52,909/77,371 = 77,371/x
3. Step 3: Cross multiply
   52,909x = 77,371 × 77,371
4. Step 4: Simplify right side
   52,909x = 5,986,271,641
5. Step 5: Solve for x
   x = 5,986,271,641/52,909
6. Step 6: Final answer
   x = 113,142.79