Finding the Third Proportional to 78,474 and 117,886

Step by Step Solution

1. Step 1: Write the proportion equation
   78,474 : 117,886 = 117,886 : x
2. Step 2: Convert to fraction form
   78,474/117,886 = 117,886/x
3. Step 3: Cross multiply
   78,474x = 117,886 × 117,886
4. Step 4: Simplify right side
   78,474x = 13,897,108,996
5. Step 5: Solve for x
   x = 13,897,108,996/78,474
6. Step 6: Final answer
   x = 177,091.89