Finding the Third Proportional to 217,870 and 333,075.50

Step by Step Solution

1. Step 1: Write the proportion equation
   217,870 : 333,075.50 = 333,075.50 : x
2. Step 2: Convert to fraction form
   217,870/333,075.50 = 333,075.50/x
3. Step 3: Cross multiply
   217,870x = 333,075.50 × 333,075.50
4. Step 4: Simplify right side
   217,870x = 110,939,288,700.25
5. Step 5: Solve for x
   x = 110,939,288,700.25/217,870
6. Step 6: Final answer
   x = 509,199.47