Finding the Third Proportional to 37,759 and 88,187

Step by Step Solution

1. Step 1: Write the proportion equation
   37,759 : 88,187 = 88,187 : x
2. Step 2: Convert to fraction form
   37,759/88,187 = 88,187/x
3. Step 3: Cross multiply
   37,759x = 88,187 × 88,187
4. Step 4: Simplify right side
   37,759x = 7,776,946,969
5. Step 5: Solve for x
   x = 7,776,946,969/37,759
6. Step 6: Final answer
   x = 205,962.74