Finding the Third Proportional to 78,819 and 117,940.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,819 : 117,940.50 = 117,940.50 : x
2. Step 2: Convert to fraction form
   78,819/117,940.50 = 117,940.50/x
3. Step 3: Cross multiply
   78,819x = 117,940.50 × 117,940.50
4. Step 4: Simplify right side
   78,819x = 13,909,961,540.25
5. Step 5: Solve for x
   x = 13,909,961,540.25/78,819
6. Step 6: Final answer
   x = 176,479.80