Finding the Third Proportional to 52,976 and 78,546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,976 : 78,546.50 = 78,546.50 : x
2. Step 2: Convert to fraction form
   52,976/78,546.50 = 78,546.50/x
3. Step 3: Cross multiply
   52,976x = 78,546.50 × 78,546.50
4. Step 4: Simplify right side
   52,976x = 6,169,552,662.25
5. Step 5: Solve for x
   x = 6,169,552,662.25/52,976
6. Step 6: Final answer
   x = 116,459.39