Finding the Third Proportional to 51,654 and 78,510

Step by Step Solution

1. Step 1: Write the proportion equation
   51,654 : 78,510 = 78,510 : x
2. Step 2: Convert to fraction form
   51,654/78,510 = 78,510/x
3. Step 3: Cross multiply
   51,654x = 78,510 × 78,510
4. Step 4: Simplify right side
   51,654x = 6,163,820,100
5. Step 5: Solve for x
   x = 6,163,820,100/51,654
6. Step 6: Final answer
   x = 119,329.00