Finding the Third Proportional to 223,038 and 334,624.50

Step by Step Solution

1. Step 1: Write the proportion equation
   223,038 : 334,624.50 = 334,624.50 : x
2. Step 2: Convert to fraction form
   223,038/334,624.50 = 334,624.50/x
3. Step 3: Cross multiply
   223,038x = 334,624.50 × 334,624.50
4. Step 4: Simplify right side
   223,038x = 111,973,556,000.25
5. Step 5: Solve for x
   x = 111,973,556,000.25/223,038
6. Step 6: Final answer
   x = 502,038.02