Finding the Third Proportional to 50,470 and 105,080

Step by Step Solution

1. Step 1: Write the proportion equation
   50,470 : 105,080 = 105,080 : x
2. Step 2: Convert to fraction form
   50,470/105,080 = 105,080/x
3. Step 3: Cross multiply
   50,470x = 105,080 × 105,080
4. Step 4: Simplify right side
   50,470x = 11,041,806,400
5. Step 5: Solve for x
   x = 11,041,806,400/50,470
6. Step 6: Final answer
   x = 218,779.60