Finding the Third Proportional to 49,763 and 77,054

Step by Step Solution

1. Step 1: Write the proportion equation
   49,763 : 77,054 = 77,054 : x
2. Step 2: Convert to fraction form
   49,763/77,054 = 77,054/x
3. Step 3: Cross multiply
   49,763x = 77,054 × 77,054
4. Step 4: Simplify right side
   49,763x = 5,937,318,916
5. Step 5: Solve for x
   x = 5,937,318,916/49,763
6. Step 6: Final answer
   x = 119,311.92