Finding the Third Proportional to 103,020 and 217,294.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,020 : 217,294.50 = 217,294.50 : x
2. Step 2: Convert to fraction form
   103,020/217,294.50 = 217,294.50/x
3. Step 3: Cross multiply
   103,020x = 217,294.50 × 217,294.50
4. Step 4: Simplify right side
   103,020x = 47,216,899,730.25
5. Step 5: Solve for x
   x = 47,216,899,730.25/103,020
6. Step 6: Final answer
   x = 458,327.51