Finding the Third Proportional to 50,788 and 77,315

Step by Step Solution

1. Step 1: Write the proportion equation
   50,788 : 77,315 = 77,315 : x
2. Step 2: Convert to fraction form
   50,788/77,315 = 77,315/x
3. Step 3: Cross multiply
   50,788x = 77,315 × 77,315
4. Step 4: Simplify right side
   50,788x = 5,977,609,225
5. Step 5: Solve for x
   x = 5,977,609,225/50,788
6. Step 6: Final answer
   x = 117,697.28