Finding the Third Proportional to 78,788 and 117,898

Step by Step Solution

1. Step 1: Write the proportion equation
   78,788 : 117,898 = 117,898 : x
2. Step 2: Convert to fraction form
   78,788/117,898 = 117,898/x
3. Step 3: Cross multiply
   78,788x = 117,898 × 117,898
4. Step 4: Simplify right side
   78,788x = 13,899,938,404
5. Step 5: Solve for x
   x = 13,899,938,404/78,788
6. Step 6: Final answer
   x = 176,422.02