Finding the Third Proportional to 78,360 and 174,160

Step by Step Solution

1. Step 1: Write the proportion equation
   78,360 : 174,160 = 174,160 : x
2. Step 2: Convert to fraction form
   78,360/174,160 = 174,160/x
3. Step 3: Cross multiply
   78,360x = 174,160 × 174,160
4. Step 4: Simplify right side
   78,360x = 30,331,705,600
5. Step 5: Solve for x
   x = 30,331,705,600/78,360
6. Step 6: Final answer
   x = 387,081.49