Finding the Third Proportional to 173,880 and 380,970

Step by Step Solution

1. Step 1: Write the proportion equation
   173,880 : 380,970 = 380,970 : x
2. Step 2: Convert to fraction form
   173,880/380,970 = 380,970/x
3. Step 3: Cross multiply
   173,880x = 380,970 × 380,970
4. Step 4: Simplify right side
   173,880x = 145,138,140,900
5. Step 5: Solve for x
   x = 145,138,140,900/173,880
6. Step 6: Final answer
   x = 834,702.90