Finding the Third Proportional to 37,808 and 88,310

Step by Step Solution

1. Step 1: Write the proportion equation
   37,808 : 88,310 = 88,310 : x
2. Step 2: Convert to fraction form
   37,808/88,310 = 88,310/x
3. Step 3: Cross multiply
   37,808x = 88,310 × 88,310
4. Step 4: Simplify right side
   37,808x = 7,798,656,100
5. Step 5: Solve for x
   x = 7,798,656,100/37,808
6. Step 6: Final answer
   x = 206,270.00