Finding the Third Proportional to 95,616 and 142,776

Step by Step Solution

1. Step 1: Write the proportion equation
   95,616 : 142,776 = 142,776 : x
2. Step 2: Convert to fraction form
   95,616/142,776 = 142,776/x
3. Step 3: Cross multiply
   95,616x = 142,776 × 142,776
4. Step 4: Simplify right side
   95,616x = 20,384,986,176
5. Step 5: Solve for x
   x = 20,384,986,176/95,616
6. Step 6: Final answer
   x = 213,196.39