Finding the Third Proportional to 50,101 and 77,356.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,101 : 77,356.50 = 77,356.50 : x
2. Step 2: Convert to fraction form
   50,101/77,356.50 = 77,356.50/x
3. Step 3: Cross multiply
   50,101x = 77,356.50 × 77,356.50
4. Step 4: Simplify right side
   50,101x = 5,984,028,092.25
5. Step 5: Solve for x
   x = 5,984,028,092.25/50,101
6. Step 6: Final answer
   x = 119,439.29