Finding the Third Proportional to 78,363 and 168,510

Step by Step Solution

1. Step 1: Write the proportion equation
   78,363 : 168,510 = 168,510 : x
2. Step 2: Convert to fraction form
   78,363/168,510 = 168,510/x
3. Step 3: Cross multiply
   78,363x = 168,510 × 168,510
4. Step 4: Simplify right side
   78,363x = 28,395,620,100
5. Step 5: Solve for x
   x = 28,395,620,100/78,363
6. Step 6: Final answer
   x = 362,360.04