Finding the Third Proportional to 105,861 and 158,776

Step by Step Solution

1. Step 1: Write the proportion equation
   105,861 : 158,776 = 158,776 : x
2. Step 2: Convert to fraction form
   105,861/158,776 = 158,776/x
3. Step 3: Cross multiply
   105,861x = 158,776 × 158,776
4. Step 4: Simplify right side
   105,861x = 25,209,818,176
5. Step 5: Solve for x
   x = 25,209,818,176/105,861
6. Step 6: Final answer
   x = 238,140.75