Finding the Third Proportional to 103,653 and 217,749.94

Step by Step Solution

1. Step 1: Write the proportion equation
   103,653 : 217,749.94 = 217,749.94 : x
2. Step 2: Convert to fraction form
   103,653/217,749.94 = 217,749.94/x
3. Step 3: Cross multiply
   103,653x = 217,749.94 × 217,749.94
4. Step 4: Simplify right side
   103,653x = 47,415,035,281.25
5. Step 5: Solve for x
   x = 47,415,035,281.25/103,653
6. Step 6: Final answer
   x = 457,440.07