Finding the Third Proportional to 47,789 and 70,223

Step by Step Solution

1. Step 1: Write the proportion equation
   47,789 : 70,223 = 70,223 : x
2. Step 2: Convert to fraction form
   47,789/70,223 = 70,223/x
3. Step 3: Cross multiply
   47,789x = 70,223 × 70,223
4. Step 4: Simplify right side
   47,789x = 4,931,269,729
5. Step 5: Solve for x
   x = 4,931,269,729/47,789
6. Step 6: Final answer
   x = 103,188.38