Finding the Third Proportional to 78,804 and 118,288.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,804 : 118,288.50 = 118,288.50 : x
2. Step 2: Convert to fraction form
   78,804/118,288.50 = 118,288.50/x
3. Step 3: Cross multiply
   78,804x = 118,288.50 × 118,288.50
4. Step 4: Simplify right side
   78,804x = 13,992,169,232.25
5. Step 5: Solve for x
   x = 13,992,169,232.25/78,804
6. Step 6: Final answer
   x = 177,556.59