Finding the Third Proportional to 50,385 and 75,314.25

Step by Step Solution

1. Step 1: Write the proportion equation
   50,385 : 75,314.25 = 75,314.25 : x
2. Step 2: Convert to fraction form
   50,385/75,314.25 = 75,314.25/x
3. Step 3: Cross multiply
   50,385x = 75,314.25 × 75,314.25
4. Step 4: Simplify right side
   50,385x = 5,672,236,253.06
5. Step 5: Solve for x
   x = 5,672,236,253.06/50,385
6. Step 6: Final answer
   x = 112,577.88