Finding the Third Proportional to 103,054 and 217,180

Step by Step Solution

1. Step 1: Write the proportion equation
   103,054 : 217,180 = 217,180 : x
2. Step 2: Convert to fraction form
   103,054/217,180 = 217,180/x
3. Step 3: Cross multiply
   103,054x = 217,180 × 217,180
4. Step 4: Simplify right side
   103,054x = 47,167,152,400
5. Step 5: Solve for x
   x = 47,167,152,400/103,054
6. Step 6: Final answer
   x = 457,693.56