Finding the Third Proportional to 78,146 and 168,160

Step by Step Solution

1. Step 1: Write the proportion equation
   78,146 : 168,160 = 168,160 : x
2. Step 2: Convert to fraction form
   78,146/168,160 = 168,160/x
3. Step 3: Cross multiply
   78,146x = 168,160 × 168,160
4. Step 4: Simplify right side
   78,146x = 28,277,785,600
5. Step 5: Solve for x
   x = 28,277,785,600/78,146
6. Step 6: Final answer
   x = 361,858.39