Finding the Third Proportional to 78,460 and 169,436

Step by Step Solution

1. Step 1: Write the proportion equation
   78,460 : 169,436 = 169,436 : x
2. Step 2: Convert to fraction form
   78,460/169,436 = 169,436/x
3. Step 3: Cross multiply
   78,460x = 169,436 × 169,436
4. Step 4: Simplify right side
   78,460x = 28,708,558,096
5. Step 5: Solve for x
   x = 28,708,558,096/78,460
6. Step 6: Final answer
   x = 365,900.56