Finding the Third Proportional to 50,853 and 77,320.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,853 : 77,320.50 = 77,320.50 : x
2. Step 2: Convert to fraction form
   50,853/77,320.50 = 77,320.50/x
3. Step 3: Cross multiply
   50,853x = 77,320.50 × 77,320.50
4. Step 4: Simplify right side
   50,853x = 5,978,459,720.25
5. Step 5: Solve for x
   x = 5,978,459,720.25/50,853
6. Step 6: Final answer
   x = 117,563.56