Finding the Third Proportional to 85,548 and 137,826

Step by Step Solution

1. Step 1: Write the proportion equation
   85,548 : 137,826 = 137,826 : x
2. Step 2: Convert to fraction form
   85,548/137,826 = 137,826/x
3. Step 3: Cross multiply
   85,548x = 137,826 × 137,826
4. Step 4: Simplify right side
   85,548x = 18,996,006,276
5. Step 5: Solve for x
   x = 18,996,006,276/85,548
6. Step 6: Final answer
   x = 222,050.85