Finding the Third Proportional to 35,208 and 78,287.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,208 : 78,287.25 = 78,287.25 : x
2. Step 2: Convert to fraction form
   35,208/78,287.25 = 78,287.25/x
3. Step 3: Cross multiply
   35,208x = 78,287.25 × 78,287.25
4. Step 4: Simplify right side
   35,208x = 6,128,893,512.56
5. Step 5: Solve for x
   x = 6,128,893,512.56/35,208
6. Step 6: Final answer
   x = 174,076.73