Finding the Third Proportional to 76,684.50 and 112,448.25

Step by Step Solution

1. Step 1: Write the proportion equation
   76,684.50 : 112,448.25 = 112,448.25 : x
2. Step 2: Convert to fraction form
   76,684.50/112,448.25 = 112,448.25/x
3. Step 3: Cross multiply
   76,684.50x = 112,448.25 × 112,448.25
4. Step 4: Simplify right side
   76,684.50x = 12,644,608,928.06
5. Step 5: Solve for x
   x = 12,644,608,928.06/76,684.50
6. Step 6: Final answer
   x = 164,891.33