Finding the Third Proportional to 114,114 and 231,683.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,114 : 231,683.50 = 231,683.50 : x
2. Step 2: Convert to fraction form
   114,114/231,683.50 = 231,683.50/x
3. Step 3: Cross multiply
   114,114x = 231,683.50 × 231,683.50
4. Step 4: Simplify right side
   114,114x = 53,677,244,172.25
5. Step 5: Solve for x
   x = 53,677,244,172.25/114,114
6. Step 6: Final answer
   x = 470,382.64