Finding the Third Proportional to 78,075 and 116,899

Step by Step Solution

1. Step 1: Write the proportion equation
   78,075 : 116,899 = 116,899 : x
2. Step 2: Convert to fraction form
   78,075/116,899 = 116,899/x
3. Step 3: Cross multiply
   78,075x = 116,899 × 116,899
4. Step 4: Simplify right side
   78,075x = 13,665,376,201
5. Step 5: Solve for x
   x = 13,665,376,201/78,075
6. Step 6: Final answer
   x = 175,028.83