Finding the Third Proportional to 227,638.50 and 334,075.50

Step by Step Solution

1. Step 1: Write the proportion equation
   227,638.50 : 334,075.50 = 334,075.50 : x
2. Step 2: Convert to fraction form
   227,638.50/334,075.50 = 334,075.50/x
3. Step 3: Cross multiply
   227,638.50x = 334,075.50 × 334,075.50
4. Step 4: Simplify right side
   227,638.50x = 111,606,439,700.25
5. Step 5: Solve for x
   x = 111,606,439,700.25/227,638.50
6. Step 6: Final answer
   x = 490,279.28