Finding the Third Proportional to 238,455 and 334,215

Step by Step Solution

1. Step 1: Write the proportion equation
   238,455 : 334,215 = 334,215 : x
2. Step 2: Convert to fraction form
   238,455/334,215 = 334,215/x
3. Step 3: Cross multiply
   238,455x = 334,215 × 334,215
4. Step 4: Simplify right side
   238,455x = 111,699,666,225
5. Step 5: Solve for x
   x = 111,699,666,225/238,455
6. Step 6: Final answer
   x = 468,430.80