Finding the Third Proportional to 37,899 and 88,308

Step by Step Solution

1. Step 1: Write the proportion equation
   37,899 : 88,308 = 88,308 : x
2. Step 2: Convert to fraction form
   37,899/88,308 = 88,308/x
3. Step 3: Cross multiply
   37,899x = 88,308 × 88,308
4. Step 4: Simplify right side
   37,899x = 7,798,302,864
5. Step 5: Solve for x
   x = 7,798,302,864/37,899
6. Step 6: Final answer
   x = 205,765.40