Finding the Third Proportional to 35,715 and 78,231

Step by Step Solution

1. Step 1: Write the proportion equation
   35,715 : 78,231 = 78,231 : x
2. Step 2: Convert to fraction form
   35,715/78,231 = 78,231/x
3. Step 3: Cross multiply
   35,715x = 78,231 × 78,231
4. Step 4: Simplify right side
   35,715x = 6,120,089,361
5. Step 5: Solve for x
   x = 6,120,089,361/35,715
6. Step 6: Final answer
   x = 171,359.07