Finding the Third Proportional to 32,178 and 70,905

Step by Step Solution

1. Step 1: Write the proportion equation
   32,178 : 70,905 = 70,905 : x
2. Step 2: Convert to fraction form
   32,178/70,905 = 70,905/x
3. Step 3: Cross multiply
   32,178x = 70,905 × 70,905
4. Step 4: Simplify right side
   32,178x = 5,027,519,025
5. Step 5: Solve for x
   x = 5,027,519,025/32,178
6. Step 6: Final answer
   x = 156,240.88