Finding the Third Proportional to 78,156 and 168,462

Step by Step Solution

1. Step 1: Write the proportion equation
   78,156 : 168,462 = 168,462 : x
2. Step 2: Convert to fraction form
   78,156/168,462 = 168,462/x
3. Step 3: Cross multiply
   78,156x = 168,462 × 168,462
4. Step 4: Simplify right side
   78,156x = 28,379,445,444
5. Step 5: Solve for x
   x = 28,379,445,444/78,156
6. Step 6: Final answer
   x = 363,112.82