Finding the Third Proportional to 52,020 and 78,396

Step by Step Solution

1. Step 1: Write the proportion equation
   52,020 : 78,396 = 78,396 : x
2. Step 2: Convert to fraction form
   52,020/78,396 = 78,396/x
3. Step 3: Cross multiply
   52,020x = 78,396 × 78,396
4. Step 4: Simplify right side
   52,020x = 6,145,932,816
5. Step 5: Solve for x
   x = 6,145,932,816/52,020
6. Step 6: Final answer
   x = 118,145.58