Finding the Third Proportional to 36,364 and 77,123

Step by Step Solution

1. Step 1: Write the proportion equation
   36,364 : 77,123 = 77,123 : x
2. Step 2: Convert to fraction form
   36,364/77,123 = 77,123/x
3. Step 3: Cross multiply
   36,364x = 77,123 × 77,123
4. Step 4: Simplify right side
   36,364x = 5,947,957,129
5. Step 5: Solve for x
   x = 5,947,957,129/36,364
6. Step 6: Final answer
   x = 163,567.19