Finding the Third Proportional to 229,878 and 345,127.50

Step by Step Solution

1. Step 1: Write the proportion equation
   229,878 : 345,127.50 = 345,127.50 : x
2. Step 2: Convert to fraction form
   229,878/345,127.50 = 345,127.50/x
3. Step 3: Cross multiply
   229,878x = 345,127.50 × 345,127.50
4. Step 4: Simplify right side
   229,878x = 119,112,991,256.25
5. Step 5: Solve for x
   x = 119,112,991,256.25/229,878
6. Step 6: Final answer
   x = 518,157.42