Finding the Third Proportional to 78,430 and 169,818

Step by Step Solution

1. Step 1: Write the proportion equation
   78,430 : 169,818 = 169,818 : x
2. Step 2: Convert to fraction form
   78,430/169,818 = 169,818/x
3. Step 3: Cross multiply
   78,430x = 169,818 × 169,818
4. Step 4: Simplify right side
   78,430x = 28,838,153,124
5. Step 5: Solve for x
   x = 28,838,153,124/78,430
6. Step 6: Final answer
   x = 367,692.89