Finding the Third Proportional to 84,509.50 and 179,385

Step by Step Solution

1. Step 1: Write the proportion equation
   84,509.50 : 179,385 = 179,385 : x
2. Step 2: Convert to fraction form
   84,509.50/179,385 = 179,385/x
3. Step 3: Cross multiply
   84,509.50x = 179,385 × 179,385
4. Step 4: Simplify right side
   84,509.50x = 32,178,978,225
5. Step 5: Solve for x
   x = 32,178,978,225/84,509.50
6. Step 6: Final answer
   x = 380,773.50