Finding the Third Proportional to 83,462 and 180,276

Step by Step Solution

1. Step 1: Write the proportion equation
   83,462 : 180,276 = 180,276 : x
2. Step 2: Convert to fraction form
   83,462/180,276 = 180,276/x
3. Step 3: Cross multiply
   83,462x = 180,276 × 180,276
4. Step 4: Simplify right side
   83,462x = 32,499,436,176
5. Step 5: Solve for x
   x = 32,499,436,176/83,462
6. Step 6: Final answer
   x = 389,392.01