Finding the Third Proportional to 234,031.50 and 384,421.50

Step by Step Solution

1. Step 1: Write the proportion equation
   234,031.50 : 384,421.50 = 384,421.50 : x
2. Step 2: Convert to fraction form
   234,031.50/384,421.50 = 384,421.50/x
3. Step 3: Cross multiply
   234,031.50x = 384,421.50 × 384,421.50
4. Step 4: Simplify right side
   234,031.50x = 147,779,889,662.25
5. Step 5: Solve for x
   x = 147,779,889,662.25/234,031.50
6. Step 6: Final answer
   x = 631,452.99