Finding the Third Proportional to 51,378 and 78,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,378 : 78,523.50 = 78,523.50 : x
2. Step 2: Convert to fraction form
   51,378/78,523.50 = 78,523.50/x
3. Step 3: Cross multiply
   51,378x = 78,523.50 × 78,523.50
4. Step 4: Simplify right side
   51,378x = 6,165,940,052.25
5. Step 5: Solve for x
   x = 6,165,940,052.25/51,378
6. Step 6: Final answer
   x = 120,011.29