Finding the Third Proportional to 82,575 and 181,188

Step by Step Solution

1. Step 1: Write the proportion equation
   82,575 : 181,188 = 181,188 : x
2. Step 2: Convert to fraction form
   82,575/181,188 = 181,188/x
3. Step 3: Cross multiply
   82,575x = 181,188 × 181,188
4. Step 4: Simplify right side
   82,575x = 32,829,091,344
5. Step 5: Solve for x
   x = 32,829,091,344/82,575
6. Step 6: Final answer
   x = 397,566.96