Finding the Third Proportional to 78,470 and 117,881

Step by Step Solution

1. Step 1: Write the proportion equation
   78,470 : 117,881 = 117,881 : x
2. Step 2: Convert to fraction form
   78,470/117,881 = 117,881/x
3. Step 3: Cross multiply
   78,470x = 117,881 × 117,881
4. Step 4: Simplify right side
   78,470x = 13,895,930,161
5. Step 5: Solve for x
   x = 13,895,930,161/78,470
6. Step 6: Final answer
   x = 177,085.89