Finding the Third Proportional to 78,410 and 169,780

Step by Step Solution

1. Step 1: Write the proportion equation
   78,410 : 169,780 = 169,780 : x
2. Step 2: Convert to fraction form
   78,410/169,780 = 169,780/x
3. Step 3: Cross multiply
   78,410x = 169,780 × 169,780
4. Step 4: Simplify right side
   78,410x = 28,825,248,400
5. Step 5: Solve for x
   x = 28,825,248,400/78,410
6. Step 6: Final answer
   x = 367,622.09