Finding the Third Proportional to 230,082 and 471,316.50

Step by Step Solution

1. Step 1: Write the proportion equation
   230,082 : 471,316.50 = 471,316.50 : x
2. Step 2: Convert to fraction form
   230,082/471,316.50 = 471,316.50/x
3. Step 3: Cross multiply
   230,082x = 471,316.50 × 471,316.50
4. Step 4: Simplify right side
   230,082x = 222,139,243,172.25
5. Step 5: Solve for x
   x = 222,139,243,172.25/230,082
6. Step 6: Final answer
   x = 965,478.58