Finding the Third Proportional to 83,733 and 113,704

Step by Step Solution

1. Step 1: Write the proportion equation
   83,733 : 113,704 = 113,704 : x
2. Step 2: Convert to fraction form
   83,733/113,704 = 113,704/x
3. Step 3: Cross multiply
   83,733x = 113,704 × 113,704
4. Step 4: Simplify right side
   83,733x = 12,928,599,616
5. Step 5: Solve for x
   x = 12,928,599,616/83,733
6. Step 6: Final answer
   x = 154,402.68