Finding the Third Proportional to 73,686 and 114,300

Step by Step Solution

1. Step 1: Write the proportion equation
   73,686 : 114,300 = 114,300 : x
2. Step 2: Convert to fraction form
   73,686/114,300 = 114,300/x
3. Step 3: Cross multiply
   73,686x = 114,300 × 114,300
4. Step 4: Simplify right side
   73,686x = 13,064,490,000
5. Step 5: Solve for x
   x = 13,064,490,000/73,686
6. Step 6: Final answer
   x = 177,299.49