Finding the Third Proportional to 99,913.50 and 214,038

Step by Step Solution

1. Step 1: Write the proportion equation
   99,913.50 : 214,038 = 214,038 : x
2. Step 2: Convert to fraction form
   99,913.50/214,038 = 214,038/x
3. Step 3: Cross multiply
   99,913.50x = 214,038 × 214,038
4. Step 4: Simplify right side
   99,913.50x = 45,812,265,444
5. Step 5: Solve for x
   x = 45,812,265,444/99,913.50
6. Step 6: Final answer
   x = 458,519.27