Finding the Third Proportional to 83,780 and 173,392

Step by Step Solution

1. Step 1: Write the proportion equation
   83,780 : 173,392 = 173,392 : x
2. Step 2: Convert to fraction form
   83,780/173,392 = 173,392/x
3. Step 3: Cross multiply
   83,780x = 173,392 × 173,392
4. Step 4: Simplify right side
   83,780x = 30,064,785,664
5. Step 5: Solve for x
   x = 30,064,785,664/83,780
6. Step 6: Final answer
   x = 358,853.97