Finding the Third Proportional to 85,532 and 123,205.75

Step by Step Solution

1. Step 1: Write the proportion equation
   85,532 : 123,205.75 = 123,205.75 : x
2. Step 2: Convert to fraction form
   85,532/123,205.75 = 123,205.75/x
3. Step 3: Cross multiply
   85,532x = 123,205.75 × 123,205.75
4. Step 4: Simplify right side
   85,532x = 15,179,656,833.06
5. Step 5: Solve for x
   x = 15,179,656,833.06/85,532
6. Step 6: Final answer
   x = 177,473.42