Finding the Third Proportional to 78,454 and 169,788

Step by Step Solution

1. Step 1: Write the proportion equation
   78,454 : 169,788 = 169,788 : x
2. Step 2: Convert to fraction form
   78,454/169,788 = 169,788/x
3. Step 3: Cross multiply
   78,454x = 169,788 × 169,788
4. Step 4: Simplify right side
   78,454x = 28,827,964,944
5. Step 5: Solve for x
   x = 28,827,964,944/78,454
6. Step 6: Final answer
   x = 367,450.54