Finding the Third Proportional to 83,733 and 117,123

Step by Step Solution

1. Step 1: Write the proportion equation
   83,733 : 117,123 = 117,123 : x
2. Step 2: Convert to fraction form
   83,733/117,123 = 117,123/x
3. Step 3: Cross multiply
   83,733x = 117,123 × 117,123
4. Step 4: Simplify right side
   83,733x = 13,717,797,129
5. Step 5: Solve for x
   x = 13,717,797,129/83,733
6. Step 6: Final answer
   x = 163,827.85