Finding the Third Proportional to 174,536 and 362,024

Step by Step Solution

1. Step 1: Write the proportion equation
   174,536 : 362,024 = 362,024 : x
2. Step 2: Convert to fraction form
   174,536/362,024 = 362,024/x
3. Step 3: Cross multiply
   174,536x = 362,024 × 362,024
4. Step 4: Simplify right side
   174,536x = 131,061,376,576
5. Step 5: Solve for x
   x = 131,061,376,576/174,536
6. Step 6: Final answer
   x = 750,913.14