Finding the Third Proportional to 52,024 and 78,500

Step by Step Solution

1. Step 1: Write the proportion equation
   52,024 : 78,500 = 78,500 : x
2. Step 2: Convert to fraction form
   52,024/78,500 = 78,500/x
3. Step 3: Cross multiply
   52,024x = 78,500 × 78,500
4. Step 4: Simplify right side
   52,024x = 6,162,250,000
5. Step 5: Solve for x
   x = 6,162,250,000/52,024
6. Step 6: Final answer
   x = 118,450.14