Finding the Third Proportional to 52,306 and 77,443

Step by Step Solution

1. Step 1: Write the proportion equation
   52,306 : 77,443 = 77,443 : x
2. Step 2: Convert to fraction form
   52,306/77,443 = 77,443/x
3. Step 3: Cross multiply
   52,306x = 77,443 × 77,443
4. Step 4: Simplify right side
   52,306x = 5,997,418,249
5. Step 5: Solve for x
   x = 5,997,418,249/52,306
6. Step 6: Final answer
   x = 114,660.23