Finding the Third Proportional to 229,968 and 316,669.50

Step by Step Solution

1. Step 1: Write the proportion equation
   229,968 : 316,669.50 = 316,669.50 : x
2. Step 2: Convert to fraction form
   229,968/316,669.50 = 316,669.50/x
3. Step 3: Cross multiply
   229,968x = 316,669.50 × 316,669.50
4. Step 4: Simplify right side
   229,968x = 100,279,572,230.25
5. Step 5: Solve for x
   x = 100,279,572,230.25/229,968
6. Step 6: Final answer
   x = 436,058.81