Finding the Third Proportional to 78,408 and 169,776

Step by Step Solution

1. Step 1: Write the proportion equation
   78,408 : 169,776 = 169,776 : x
2. Step 2: Convert to fraction form
   78,408/169,776 = 169,776/x
3. Step 3: Cross multiply
   78,408x = 169,776 × 169,776
4. Step 4: Simplify right side
   78,408x = 28,823,890,176
5. Step 5: Solve for x
   x = 28,823,890,176/78,408
6. Step 6: Final answer
   x = 367,614.15