Finding the Third Proportional to 116,667 and 186,075

Step by Step Solution

1. Step 1: Write the proportion equation
   116,667 : 186,075 = 186,075 : x
2. Step 2: Convert to fraction form
   116,667/186,075 = 186,075/x
3. Step 3: Cross multiply
   116,667x = 186,075 × 186,075
4. Step 4: Simplify right side
   116,667x = 34,623,905,625
5. Step 5: Solve for x
   x = 34,623,905,625/116,667
6. Step 6: Final answer
   x = 296,775.49