Finding the Third Proportional to 47,858 and 100,946

Step by Step Solution

1. Step 1: Write the proportion equation
   47,858 : 100,946 = 100,946 : x
2. Step 2: Convert to fraction form
   47,858/100,946 = 100,946/x
3. Step 3: Cross multiply
   47,858x = 100,946 × 100,946
4. Step 4: Simplify right side
   47,858x = 10,190,094,916
5. Step 5: Solve for x
   x = 10,190,094,916/47,858
6. Step 6: Final answer
   x = 212,923.54