Finding the Third Proportional to 78,594 and 166,884

Step by Step Solution

1. Step 1: Write the proportion equation
   78,594 : 166,884 = 166,884 : x
2. Step 2: Convert to fraction form
   78,594/166,884 = 166,884/x
3. Step 3: Cross multiply
   78,594x = 166,884 × 166,884
4. Step 4: Simplify right side
   78,594x = 27,850,269,456
5. Step 5: Solve for x
   x = 27,850,269,456/78,594
6. Step 6: Final answer
   x = 354,356.18