Finding the Third Proportional to 46,213 and 100,748

Step by Step Solution

1. Step 1: Write the proportion equation
   46,213 : 100,748 = 100,748 : x
2. Step 2: Convert to fraction form
   46,213/100,748 = 100,748/x
3. Step 3: Cross multiply
   46,213x = 100,748 × 100,748
4. Step 4: Simplify right side
   46,213x = 10,150,159,504
5. Step 5: Solve for x
   x = 10,150,159,504/46,213
6. Step 6: Final answer
   x = 219,638.62