Finding the Third Proportional to 47,554.25 and 100,414

Step by Step Solution

1. Step 1: Write the proportion equation
   47,554.25 : 100,414 = 100,414 : x
2. Step 2: Convert to fraction form
   47,554.25/100,414 = 100,414/x
3. Step 3: Cross multiply
   47,554.25x = 100,414 × 100,414
4. Step 4: Simplify right side
   47,554.25x = 10,082,971,396
5. Step 5: Solve for x
   x = 10,082,971,396/47,554.25
6. Step 6: Final answer
   x = 212,030.92