Finding the Third Proportional to 50,394 and 77,052

Step by Step Solution

1. Step 1: Write the proportion equation
   50,394 : 77,052 = 77,052 : x
2. Step 2: Convert to fraction form
   50,394/77,052 = 77,052/x
3. Step 3: Cross multiply
   50,394x = 77,052 × 77,052
4. Step 4: Simplify right side
   50,394x = 5,937,010,704
5. Step 5: Solve for x
   x = 5,937,010,704/50,394
6. Step 6: Final answer
   x = 117,811.86