Finding the Third Proportional to 51,948 and 78,300

Step by Step Solution

1. Step 1: Write the proportion equation
   51,948 : 78,300 = 78,300 : x
2. Step 2: Convert to fraction form
   51,948/78,300 = 78,300/x
3. Step 3: Cross multiply
   51,948x = 78,300 × 78,300
4. Step 4: Simplify right side
   51,948x = 6,130,890,000
5. Step 5: Solve for x
   x = 6,130,890,000/51,948
6. Step 6: Final answer
   x = 118,019.75