Finding the Third Proportional to 50,166 and 77,454

Step by Step Solution

1. Step 1: Write the proportion equation
   50,166 : 77,454 = 77,454 : x
2. Step 2: Convert to fraction form
   50,166/77,454 = 77,454/x
3. Step 3: Cross multiply
   50,166x = 77,454 × 77,454
4. Step 4: Simplify right side
   50,166x = 5,999,122,116
5. Step 5: Solve for x
   x = 5,999,122,116/50,166
6. Step 6: Final answer
   x = 119,585.42