Finding the Third Proportional to 82,548 and 136,577.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,548 : 136,577.25 = 136,577.25 : x
2. Step 2: Convert to fraction form
   82,548/136,577.25 = 136,577.25/x
3. Step 3: Cross multiply
   82,548x = 136,577.25 × 136,577.25
4. Step 4: Simplify right side
   82,548x = 18,653,345,217.56
5. Step 5: Solve for x
   x = 18,653,345,217.56/82,548
6. Step 6: Final answer
   x = 225,969.68