Finding the Third Proportional to 83,968 and 117,392

Step by Step Solution

1. Step 1: Write the proportion equation
   83,968 : 117,392 = 117,392 : x
2. Step 2: Convert to fraction form
   83,968/117,392 = 117,392/x
3. Step 3: Cross multiply
   83,968x = 117,392 × 117,392
4. Step 4: Simplify right side
   83,968x = 13,780,881,664
5. Step 5: Solve for x
   x = 13,780,881,664/83,968
6. Step 6: Final answer
   x = 164,120.64