Finding the Third Proportional to 81,880 and 173,602

Step by Step Solution

1. Step 1: Write the proportion equation
   81,880 : 173,602 = 173,602 : x
2. Step 2: Convert to fraction form
   81,880/173,602 = 173,602/x
3. Step 3: Cross multiply
   81,880x = 173,602 × 173,602
4. Step 4: Simplify right side
   81,880x = 30,137,654,404
5. Step 5: Solve for x
   x = 30,137,654,404/81,880
6. Step 6: Final answer
   x = 368,071.01