Finding the Third Proportional to 73,788 and 114,570

Step by Step Solution

1. Step 1: Write the proportion equation
   73,788 : 114,570 = 114,570 : x
2. Step 2: Convert to fraction form
   73,788/114,570 = 114,570/x
3. Step 3: Cross multiply
   73,788x = 114,570 × 114,570
4. Step 4: Simplify right side
   73,788x = 13,126,284,900
5. Step 5: Solve for x
   x = 13,126,284,900/73,788
6. Step 6: Final answer
   x = 177,891.86