Finding the Third Proportional to 52,020 and 78,386

Step by Step Solution

1. Step 1: Write the proportion equation
   52,020 : 78,386 = 78,386 : x
2. Step 2: Convert to fraction form
   52,020/78,386 = 78,386/x
3. Step 3: Cross multiply
   52,020x = 78,386 × 78,386
4. Step 4: Simplify right side
   52,020x = 6,144,364,996
5. Step 5: Solve for x
   x = 6,144,364,996/52,020
6. Step 6: Final answer
   x = 118,115.44