Finding the Third Proportional to 42,466 and 86,776

Step by Step Solution

1. Step 1: Write the proportion equation
   42,466 : 86,776 = 86,776 : x
2. Step 2: Convert to fraction form
   42,466/86,776 = 86,776/x
3. Step 3: Cross multiply
   42,466x = 86,776 × 86,776
4. Step 4: Simplify right side
   42,466x = 7,530,074,176
5. Step 5: Solve for x
   x = 7,530,074,176/42,466
6. Step 6: Final answer
   x = 177,320.07