Finding the Third Proportional to 85,196 and 187,522

Step by Step Solution

1. Step 1: Write the proportion equation
   85,196 : 187,522 = 187,522 : x
2. Step 2: Convert to fraction form
   85,196/187,522 = 187,522/x
3. Step 3: Cross multiply
   85,196x = 187,522 × 187,522
4. Step 4: Simplify right side
   85,196x = 35,164,500,484
5. Step 5: Solve for x
   x = 35,164,500,484/85,196
6. Step 6: Final answer
   x = 412,748.26