Finding the Third Proportional to 35,884 and 78,608

Step by Step Solution

1. Step 1: Write the proportion equation
   35,884 : 78,608 = 78,608 : x
2. Step 2: Convert to fraction form
   35,884/78,608 = 78,608/x
3. Step 3: Cross multiply
   35,884x = 78,608 × 78,608
4. Step 4: Simplify right side
   35,884x = 6,179,217,664
5. Step 5: Solve for x
   x = 6,179,217,664/35,884
6. Step 6: Final answer
   x = 172,199.80