Finding the Third Proportional to 78,413 and 169,786

Step by Step Solution

1. Step 1: Write the proportion equation
   78,413 : 169,786 = 169,786 : x
2. Step 2: Convert to fraction form
   78,413/169,786 = 169,786/x
3. Step 3: Cross multiply
   78,413x = 169,786 × 169,786
4. Step 4: Simplify right side
   78,413x = 28,827,285,796
5. Step 5: Solve for x
   x = 28,827,285,796/78,413
6. Step 6: Final answer
   x = 367,634.01