Finding the Third Proportional to 105,010 and 158,056

Step by Step Solution

1. Step 1: Write the proportion equation
   105,010 : 158,056 = 158,056 : x
2. Step 2: Convert to fraction form
   105,010/158,056 = 158,056/x
3. Step 3: Cross multiply
   105,010x = 158,056 × 158,056
4. Step 4: Simplify right side
   105,010x = 24,981,699,136
5. Step 5: Solve for x
   x = 24,981,699,136/105,010
6. Step 6: Final answer
   x = 237,898.29