Finding the Third Proportional to 46,748 and 100,140

Step by Step Solution

1. Step 1: Write the proportion equation
   46,748 : 100,140 = 100,140 : x
2. Step 2: Convert to fraction form
   46,748/100,140 = 100,140/x
3. Step 3: Cross multiply
   46,748x = 100,140 × 100,140
4. Step 4: Simplify right side
   46,748x = 10,028,019,600
5. Step 5: Solve for x
   x = 10,028,019,600/46,748
6. Step 6: Final answer
   x = 214,512.27