Finding the Third Proportional to 57,794 and 90,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,794 : 90,684.50 = 90,684.50 : x
2. Step 2: Convert to fraction form
   57,794/90,684.50 = 90,684.50/x
3. Step 3: Cross multiply
   57,794x = 90,684.50 × 90,684.50
4. Step 4: Simplify right side
   57,794x = 8,223,678,540.25
5. Step 5: Solve for x
   x = 8,223,678,540.25/57,794
6. Step 6: Final answer
   x = 142,292.95