Finding the Third Proportional to 78,813 and 175,122

Step by Step Solution

1. Step 1: Write the proportion equation
   78,813 : 175,122 = 175,122 : x
2. Step 2: Convert to fraction form
   78,813/175,122 = 175,122/x
3. Step 3: Cross multiply
   78,813x = 175,122 × 175,122
4. Step 4: Simplify right side
   78,813x = 30,667,714,884
5. Step 5: Solve for x
   x = 30,667,714,884/78,813
6. Step 6: Final answer
   x = 389,120.00