Finding the Third Proportional to 83,502 and 179,148

Step by Step Solution

1. Step 1: Write the proportion equation
   83,502 : 179,148 = 179,148 : x
2. Step 2: Convert to fraction form
   83,502/179,148 = 179,148/x
3. Step 3: Cross multiply
   83,502x = 179,148 × 179,148
4. Step 4: Simplify right side
   83,502x = 32,094,005,904
5. Step 5: Solve for x
   x = 32,094,005,904/83,502
6. Step 6: Final answer
   x = 384,350.15