Finding the Third Proportional to 73,700 and 113,814

Step by Step Solution

1. Step 1: Write the proportion equation
   73,700 : 113,814 = 113,814 : x
2. Step 2: Convert to fraction form
   73,700/113,814 = 113,814/x
3. Step 3: Cross multiply
   73,700x = 113,814 × 113,814
4. Step 4: Simplify right side
   73,700x = 12,953,626,596
5. Step 5: Solve for x
   x = 12,953,626,596/73,700
6. Step 6: Final answer
   x = 175,761.55