Finding the Third Proportional to 83,663 and 175,938

Step by Step Solution

1. Step 1: Write the proportion equation
   83,663 : 175,938 = 175,938 : x
2. Step 2: Convert to fraction form
   83,663/175,938 = 175,938/x
3. Step 3: Cross multiply
   83,663x = 175,938 × 175,938
4. Step 4: Simplify right side
   83,663x = 30,954,179,844
5. Step 5: Solve for x
   x = 30,954,179,844/83,663
6. Step 6: Final answer
   x = 369,986.49