Finding the Third Proportional to 78,470 and 117,880

Step by Step Solution

1. Step 1: Write the proportion equation
   78,470 : 117,880 = 117,880 : x
2. Step 2: Convert to fraction form
   78,470/117,880 = 117,880/x
3. Step 3: Cross multiply
   78,470x = 117,880 × 117,880
4. Step 4: Simplify right side
   78,470x = 13,895,694,400
5. Step 5: Solve for x
   x = 13,895,694,400/78,470
6. Step 6: Final answer
   x = 177,082.89