Finding the Third Proportional to 51,020 and 105,314.75

Step by Step Solution

1. Step 1: Write the proportion equation
   51,020 : 105,314.75 = 105,314.75 : x
2. Step 2: Convert to fraction form
   51,020/105,314.75 = 105,314.75/x
3. Step 3: Cross multiply
   51,020x = 105,314.75 × 105,314.75
4. Step 4: Simplify right side
   51,020x = 11,091,196,567.56
5. Step 5: Solve for x
   x = 11,091,196,567.56/51,020
6. Step 6: Final answer
   x = 217,389.19