Finding the Third Proportional to 88,500 and 185,208

Step by Step Solution

1. Step 1: Write the proportion equation
   88,500 : 185,208 = 185,208 : x
2. Step 2: Convert to fraction form
   88,500/185,208 = 185,208/x
3. Step 3: Cross multiply
   88,500x = 185,208 × 185,208
4. Step 4: Simplify right side
   88,500x = 34,302,003,264
5. Step 5: Solve for x
   x = 34,302,003,264/88,500
6. Step 6: Final answer
   x = 387,593.26