Finding the Third Proportional to 52,288 and 78,916

Step by Step Solution

1. Step 1: Write the proportion equation
   52,288 : 78,916 = 78,916 : x
2. Step 2: Convert to fraction form
   52,288/78,916 = 78,916/x
3. Step 3: Cross multiply
   52,288x = 78,916 × 78,916
4. Step 4: Simplify right side
   52,288x = 6,227,735,056
5. Step 5: Solve for x
   x = 6,227,735,056/52,288
6. Step 6: Final answer
   x = 119,104.48