Finding the Third Proportional to 144,091 and 231,513

Step by Step Solution

1. Step 1: Write the proportion equation
   144,091 : 231,513 = 231,513 : x
2. Step 2: Convert to fraction form
   144,091/231,513 = 231,513/x
3. Step 3: Cross multiply
   144,091x = 231,513 × 231,513
4. Step 4: Simplify right side
   144,091x = 53,598,269,169
5. Step 5: Solve for x
   x = 53,598,269,169/144,091
6. Step 6: Final answer
   x = 371,975.13