Finding the Third Proportional to 82,500 and 178,032

Step by Step Solution

1. Step 1: Write the proportion equation
   82,500 : 178,032 = 178,032 : x
2. Step 2: Convert to fraction form
   82,500/178,032 = 178,032/x
3. Step 3: Cross multiply
   82,500x = 178,032 × 178,032
4. Step 4: Simplify right side
   82,500x = 31,695,393,024
5. Step 5: Solve for x
   x = 31,695,393,024/82,500
6. Step 6: Final answer
   x = 384,186.58