Finding the Third Proportional to 52,269 and 77,172

Step by Step Solution

1. Step 1: Write the proportion equation
   52,269 : 77,172 = 77,172 : x
2. Step 2: Convert to fraction form
   52,269/77,172 = 77,172/x
3. Step 3: Cross multiply
   52,269x = 77,172 × 77,172
4. Step 4: Simplify right side
   52,269x = 5,955,517,584
5. Step 5: Solve for x
   x = 5,955,517,584/52,269
6. Step 6: Final answer
   x = 113,939.77