Finding the Third Proportional to 147,002 and 233,075

Step by Step Solution

1. Step 1: Write the proportion equation
   147,002 : 233,075 = 233,075 : x
2. Step 2: Convert to fraction form
   147,002/233,075 = 233,075/x
3. Step 3: Cross multiply
   147,002x = 233,075 × 233,075
4. Step 4: Simplify right side
   147,002x = 54,323,955,625
5. Step 5: Solve for x
   x = 54,323,955,625/147,002
6. Step 6: Final answer
   x = 369,545.69