Finding the Third Proportional to 47,100 and 102,300

Step by Step Solution

1. Step 1: Write the proportion equation
   47,100 : 102,300 = 102,300 : x
2. Step 2: Convert to fraction form
   47,100/102,300 = 102,300/x
3. Step 3: Cross multiply
   47,100x = 102,300 × 102,300
4. Step 4: Simplify right side
   47,100x = 10,465,290,000
5. Step 5: Solve for x
   x = 10,465,290,000/47,100
6. Step 6: Final answer
   x = 222,192.99