Finding the Third Proportional to 50,624 and 78,590

Step by Step Solution

1. Step 1: Write the proportion equation
   50,624 : 78,590 = 78,590 : x
2. Step 2: Convert to fraction form
   50,624/78,590 = 78,590/x
3. Step 3: Cross multiply
   50,624x = 78,590 × 78,590
4. Step 4: Simplify right side
   50,624x = 6,176,388,100
5. Step 5: Solve for x
   x = 6,176,388,100/50,624
6. Step 6: Final answer
   x = 122,005.14