Finding the Third Proportional to 78,371.50 and 117,556.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,371.50 : 117,556.50 = 117,556.50 : x
2. Step 2: Convert to fraction form
   78,371.50/117,556.50 = 117,556.50/x
3. Step 3: Cross multiply
   78,371.50x = 117,556.50 × 117,556.50
4. Step 4: Simplify right side
   78,371.50x = 13,819,530,692.25
5. Step 5: Solve for x
   x = 13,819,530,692.25/78,371.50
6. Step 6: Final answer
   x = 176,333.63