Finding the Third Proportional to 46,982 and 102,443.75

Step by Step Solution

1. Step 1: Write the proportion equation
   46,982 : 102,443.75 = 102,443.75 : x
2. Step 2: Convert to fraction form
   46,982/102,443.75 = 102,443.75/x
3. Step 3: Cross multiply
   46,982x = 102,443.75 × 102,443.75
4. Step 4: Simplify right side
   46,982x = 10,494,721,914.06
5. Step 5: Solve for x
   x = 10,494,721,914.06/46,982
6. Step 6: Final answer
   x = 223,377.50