Finding the Third Proportional to 83,313 and 178,938

Step by Step Solution

1. Step 1: Write the proportion equation
   83,313 : 178,938 = 178,938 : x
2. Step 2: Convert to fraction form
   83,313/178,938 = 178,938/x
3. Step 3: Cross multiply
   83,313x = 178,938 × 178,938
4. Step 4: Simplify right side
   83,313x = 32,018,807,844
5. Step 5: Solve for x
   x = 32,018,807,844/83,313
6. Step 6: Final answer
   x = 384,319.47