Finding the Third Proportional to 46,746 and 100,052

Step by Step Solution

1. Step 1: Write the proportion equation
   46,746 : 100,052 = 100,052 : x
2. Step 2: Convert to fraction form
   46,746/100,052 = 100,052/x
3. Step 3: Cross multiply
   46,746x = 100,052 × 100,052
4. Step 4: Simplify right side
   46,746x = 10,010,402,704
5. Step 5: Solve for x
   x = 10,010,402,704/46,746
6. Step 6: Final answer
   x = 214,144.58