Finding the Third Proportional to 80,664 and 185,148

Step by Step Solution

1. Step 1: Write the proportion equation
   80,664 : 185,148 = 185,148 : x
2. Step 2: Convert to fraction form
   80,664/185,148 = 185,148/x
3. Step 3: Cross multiply
   80,664x = 185,148 × 185,148
4. Step 4: Simplify right side
   80,664x = 34,279,781,904
5. Step 5: Solve for x
   x = 34,279,781,904/80,664
6. Step 6: Final answer
   x = 424,970.02