Finding the Third Proportional to 78,052 and 168,360

Step by Step Solution

1. Step 1: Write the proportion equation
   78,052 : 168,360 = 168,360 : x
2. Step 2: Convert to fraction form
   78,052/168,360 = 168,360/x
3. Step 3: Cross multiply
   78,052x = 168,360 × 168,360
4. Step 4: Simplify right side
   78,052x = 28,345,089,600
5. Step 5: Solve for x
   x = 28,345,089,600/78,052
6. Step 6: Final answer
   x = 363,156.48