Finding the Third Proportional to 83,678 and 117,039.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,678 : 117,039.50 = 117,039.50 : x
2. Step 2: Convert to fraction form
   83,678/117,039.50 = 117,039.50/x
3. Step 3: Cross multiply
   83,678x = 117,039.50 × 117,039.50
4. Step 4: Simplify right side
   83,678x = 13,698,244,560.25
5. Step 5: Solve for x
   x = 13,698,244,560.25/83,678
6. Step 6: Final answer
   x = 163,701.86