Finding the Third Proportional to 229,547 and 307,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   229,547 : 307,870.50 = 307,870.50 : x
2. Step 2: Convert to fraction form
   229,547/307,870.50 = 307,870.50/x
3. Step 3: Cross multiply
   229,547x = 307,870.50 × 307,870.50
4. Step 4: Simplify right side
   229,547x = 94,784,244,770.25
5. Step 5: Solve for x
   x = 94,784,244,770.25/229,547
6. Step 6: Final answer
   x = 412,918.68