Finding the Third Proportional to 52,830 and 78,372

Step by Step Solution

1. Step 1: Write the proportion equation
   52,830 : 78,372 = 78,372 : x
2. Step 2: Convert to fraction form
   52,830/78,372 = 78,372/x
3. Step 3: Cross multiply
   52,830x = 78,372 × 78,372
4. Step 4: Simplify right side
   52,830x = 6,142,170,384
5. Step 5: Solve for x
   x = 6,142,170,384/52,830
6. Step 6: Final answer
   x = 116,262.93