Finding the Third Proportional to 45,783 and 94,306.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,783 : 94,306.50 = 94,306.50 : x
2. Step 2: Convert to fraction form
   45,783/94,306.50 = 94,306.50/x
3. Step 3: Cross multiply
   45,783x = 94,306.50 × 94,306.50
4. Step 4: Simplify right side
   45,783x = 8,893,715,942.25
5. Step 5: Solve for x
   x = 8,893,715,942.25/45,783
6. Step 6: Final answer
   x = 194,258.04