Finding the Third Proportional to 37,809 and 88,312

Step by Step Solution

1. Step 1: Write the proportion equation
   37,809 : 88,312 = 88,312 : x
2. Step 2: Convert to fraction form
   37,809/88,312 = 88,312/x
3. Step 3: Cross multiply
   37,809x = 88,312 × 88,312
4. Step 4: Simplify right side
   37,809x = 7,799,009,344
5. Step 5: Solve for x
   x = 7,799,009,344/37,809
6. Step 6: Final answer
   x = 206,273.89