Finding the Third Proportional to 223,233 and 319,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   223,233 : 319,096.50 = 319,096.50 : x
2. Step 2: Convert to fraction form
   223,233/319,096.50 = 319,096.50/x
3. Step 3: Cross multiply
   223,233x = 319,096.50 × 319,096.50
4. Step 4: Simplify right side
   223,233x = 101,822,576,312.25
5. Step 5: Solve for x
   x = 101,822,576,312.25/223,233
6. Step 6: Final answer
   x = 456,126.90