Finding the Third Proportional to 47,099 and 102,946

Step by Step Solution

1. Step 1: Write the proportion equation
   47,099 : 102,946 = 102,946 : x
2. Step 2: Convert to fraction form
   47,099/102,946 = 102,946/x
3. Step 3: Cross multiply
   47,099x = 102,946 × 102,946
4. Step 4: Simplify right side
   47,099x = 10,597,878,916
5. Step 5: Solve for x
   x = 10,597,878,916/47,099
6. Step 6: Final answer
   x = 225,012.82