Finding the Third Proportional to 50,389 and 78,646

Step by Step Solution

1. Step 1: Write the proportion equation
   50,389 : 78,646 = 78,646 : x
2. Step 2: Convert to fraction form
   50,389/78,646 = 78,646/x
3. Step 3: Cross multiply
   50,389x = 78,646 × 78,646
4. Step 4: Simplify right side
   50,389x = 6,185,193,316
5. Step 5: Solve for x
   x = 6,185,193,316/50,389
6. Step 6: Final answer
   x = 122,748.88