Finding the Third Proportional to 31,181 and 68,194

Step by Step Solution

1. Step 1: Write the proportion equation
   31,181 : 68,194 = 68,194 : x
2. Step 2: Convert to fraction form
   31,181/68,194 = 68,194/x
3. Step 3: Cross multiply
   31,181x = 68,194 × 68,194
4. Step 4: Simplify right side
   31,181x = 4,650,421,636
5. Step 5: Solve for x
   x = 4,650,421,636/31,181
6. Step 6: Final answer
   x = 149,142.80