Finding the Third Proportional to 117,077 and 276,282.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,077 : 276,282.50 = 276,282.50 : x
2. Step 2: Convert to fraction form
   117,077/276,282.50 = 276,282.50/x
3. Step 3: Cross multiply
   117,077x = 276,282.50 × 276,282.50
4. Step 4: Simplify right side
   117,077x = 76,332,019,806.25
5. Step 5: Solve for x
   x = 76,332,019,806.25/117,077
6. Step 6: Final answer
   x = 651,981.34