Finding the Third Proportional to 52,410 and 80,654

Step by Step Solution

1. Step 1: Write the proportion equation
   52,410 : 80,654 = 80,654 : x
2. Step 2: Convert to fraction form
   52,410/80,654 = 80,654/x
3. Step 3: Cross multiply
   52,410x = 80,654 × 80,654
4. Step 4: Simplify right side
   52,410x = 6,505,067,716
5. Step 5: Solve for x
   x = 6,505,067,716/52,410
6. Step 6: Final answer
   x = 124,118.83