Finding the Third Proportional to 78,770 and 117,640.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,770 : 117,640.50 = 117,640.50 : x
2. Step 2: Convert to fraction form
   78,770/117,640.50 = 117,640.50/x
3. Step 3: Cross multiply
   78,770x = 117,640.50 × 117,640.50
4. Step 4: Simplify right side
   78,770x = 13,839,287,240.25
5. Step 5: Solve for x
   x = 13,839,287,240.25/78,770
6. Step 6: Final answer
   x = 175,692.36