Finding the Third Proportional to 78,380 and 169,148

Step by Step Solution

1. Step 1: Write the proportion equation
   78,380 : 169,148 = 169,148 : x
2. Step 2: Convert to fraction form
   78,380/169,148 = 169,148/x
3. Step 3: Cross multiply
   78,380x = 169,148 × 169,148
4. Step 4: Simplify right side
   78,380x = 28,611,045,904
5. Step 5: Solve for x
   x = 28,611,045,904/78,380
6. Step 6: Final answer
   x = 365,029.93