Finding the Third Proportional to 50,233 and 78,385.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,233 : 78,385.50 = 78,385.50 : x
2. Step 2: Convert to fraction form
   50,233/78,385.50 = 78,385.50/x
3. Step 3: Cross multiply
   50,233x = 78,385.50 × 78,385.50
4. Step 4: Simplify right side
   50,233x = 6,144,286,610.25
5. Step 5: Solve for x
   x = 6,144,286,610.25/50,233
6. Step 6: Final answer
   x = 122,315.74