Finding the Third Proportional to 103,024 and 217,302.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,024 : 217,302.50 = 217,302.50 : x
2. Step 2: Convert to fraction form
   103,024/217,302.50 = 217,302.50/x
3. Step 3: Cross multiply
   103,024x = 217,302.50 × 217,302.50
4. Step 4: Simplify right side
   103,024x = 47,220,376,506.25
5. Step 5: Solve for x
   x = 47,220,376,506.25/103,024
6. Step 6: Final answer
   x = 458,343.46