Finding the Third Proportional to 200,012.63 and 269,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,012.63 : 269,419.50 = 269,419.50 : x
2. Step 2: Convert to fraction form
   200,012.63/269,419.50 = 269,419.50/x
3. Step 3: Cross multiply
   200,012.63x = 269,419.50 × 269,419.50
4. Step 4: Simplify right side
   200,012.63x = 72,586,866,980.25
5. Step 5: Solve for x
   x = 72,586,866,980.25/200,012.63
6. Step 6: Final answer
   x = 362,911.43