Finding the Third Proportional to 83,410 and 179,860

Step by Step Solution

1. Step 1: Write the proportion equation
   83,410 : 179,860 = 179,860 : x
2. Step 2: Convert to fraction form
   83,410/179,860 = 179,860/x
3. Step 3: Cross multiply
   83,410x = 179,860 × 179,860
4. Step 4: Simplify right side
   83,410x = 32,349,619,600
5. Step 5: Solve for x
   x = 32,349,619,600/83,410
6. Step 6: Final answer
   x = 387,838.62