Finding the Third Proportional to 31,178 and 64,194

Step by Step Solution

1. Step 1: Write the proportion equation
   31,178 : 64,194 = 64,194 : x
2. Step 2: Convert to fraction form
   31,178/64,194 = 64,194/x
3. Step 3: Cross multiply
   31,178x = 64,194 × 64,194
4. Step 4: Simplify right side
   31,178x = 4,120,869,636
5. Step 5: Solve for x
   x = 4,120,869,636/31,178
6. Step 6: Final answer
   x = 132,172.35