Finding the Third Proportional to 46,156 and 100,412

Step by Step Solution

1. Step 1: Write the proportion equation
   46,156 : 100,412 = 100,412 : x
2. Step 2: Convert to fraction form
   46,156/100,412 = 100,412/x
3. Step 3: Cross multiply
   46,156x = 100,412 × 100,412
4. Step 4: Simplify right side
   46,156x = 10,082,569,744
5. Step 5: Solve for x
   x = 10,082,569,744/46,156
6. Step 6: Final answer
   x = 218,445.48