Finding the Third Proportional to 70,154 and 105,311

Step by Step Solution

1. Step 1: Write the proportion equation
   70,154 : 105,311 = 105,311 : x
2. Step 2: Convert to fraction form
   70,154/105,311 = 105,311/x
3. Step 3: Cross multiply
   70,154x = 105,311 × 105,311
4. Step 4: Simplify right side
   70,154x = 11,090,406,721
5. Step 5: Solve for x
   x = 11,090,406,721/70,154
6. Step 6: Final answer
   x = 158,086.59