Finding the Third Proportional to 46,752 and 100,146

Step by Step Solution

1. Step 1: Write the proportion equation
   46,752 : 100,146 = 100,146 : x
2. Step 2: Convert to fraction form
   46,752/100,146 = 100,146/x
3. Step 3: Cross multiply
   46,752x = 100,146 × 100,146
4. Step 4: Simplify right side
   46,752x = 10,029,221,316
5. Step 5: Solve for x
   x = 10,029,221,316/46,752
6. Step 6: Final answer
   x = 214,519.62