Finding the Third Proportional to 37,456 and 85,302

Step by Step Solution

1. Step 1: Write the proportion equation
   37,456 : 85,302 = 85,302 : x
2. Step 2: Convert to fraction form
   37,456/85,302 = 85,302/x
3. Step 3: Cross multiply
   37,456x = 85,302 × 85,302
4. Step 4: Simplify right side
   37,456x = 7,276,431,204
5. Step 5: Solve for x
   x = 7,276,431,204/37,456
6. Step 6: Final answer
   x = 194,266.10