Finding the Third Proportional to 96,775 and 152,075

Step by Step Solution

1. Step 1: Write the proportion equation
   96,775 : 152,075 = 152,075 : x
2. Step 2: Convert to fraction form
   96,775/152,075 = 152,075/x
3. Step 3: Cross multiply
   96,775x = 152,075 × 152,075
4. Step 4: Simplify right side
   96,775x = 23,126,805,625
5. Step 5: Solve for x
   x = 23,126,805,625/96,775
6. Step 6: Final answer
   x = 238,975