Finding the Third Proportional to 50,391 and 76,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,391 : 76,585.50 = 76,585.50 : x
2. Step 2: Convert to fraction form
   50,391/76,585.50 = 76,585.50/x
3. Step 3: Cross multiply
   50,391x = 76,585.50 × 76,585.50
4. Step 4: Simplify right side
   50,391x = 5,865,338,810.25
5. Step 5: Solve for x
   x = 5,865,338,810.25/50,391
6. Step 6: Final answer
   x = 116,396.56