Finding the Third Proportional to 47,763 and 102,168

Step by Step Solution

1. Step 1: Write the proportion equation
   47,763 : 102,168 = 102,168 : x
2. Step 2: Convert to fraction form
   47,763/102,168 = 102,168/x
3. Step 3: Cross multiply
   47,763x = 102,168 × 102,168
4. Step 4: Simplify right side
   47,763x = 10,438,300,224
5. Step 5: Solve for x
   x = 10,438,300,224/47,763
6. Step 6: Final answer
   x = 218,543.65