Finding the Third Proportional to 182,671 and 286,630.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,671 : 286,630.50 = 286,630.50 : x
2. Step 2: Convert to fraction form
   182,671/286,630.50 = 286,630.50/x
3. Step 3: Cross multiply
   182,671x = 286,630.50 × 286,630.50
4. Step 4: Simplify right side
   182,671x = 82,157,043,530.25
5. Step 5: Solve for x
   x = 82,157,043,530.25/182,671
6. Step 6: Final answer
   x = 449,754.17