Finding the Third Proportional to 83,440 and 173,784

Step by Step Solution

1. Step 1: Write the proportion equation
   83,440 : 173,784 = 173,784 : x
2. Step 2: Convert to fraction form
   83,440/173,784 = 173,784/x
3. Step 3: Cross multiply
   83,440x = 173,784 × 173,784
4. Step 4: Simplify right side
   83,440x = 30,200,878,656
5. Step 5: Solve for x
   x = 30,200,878,656/83,440
6. Step 6: Final answer
   x = 361,947.25