Finding the Third Proportional to 52,020 and 78,546

Step by Step Solution

1. Step 1: Write the proportion equation
   52,020 : 78,546 = 78,546 : x
2. Step 2: Convert to fraction form
   52,020/78,546 = 78,546/x
3. Step 3: Cross multiply
   52,020x = 78,546 × 78,546
4. Step 4: Simplify right side
   52,020x = 6,169,474,116
5. Step 5: Solve for x
   x = 6,169,474,116/52,020
6. Step 6: Final answer
   x = 118,598.12