Finding the Third Proportional to 35,900 and 78,606

Step by Step Solution

1. Step 1: Write the proportion equation
   35,900 : 78,606 = 78,606 : x
2. Step 2: Convert to fraction form
   35,900/78,606 = 78,606/x
3. Step 3: Cross multiply
   35,900x = 78,606 × 78,606
4. Step 4: Simplify right side
   35,900x = 6,178,903,236
5. Step 5: Solve for x
   x = 6,178,903,236/35,900
6. Step 6: Final answer
   x = 172,114.30