Finding the Third Proportional to 83,776 and 179,688

Step by Step Solution

1. Step 1: Write the proportion equation
   83,776 : 179,688 = 179,688 : x
2. Step 2: Convert to fraction form
   83,776/179,688 = 179,688/x
3. Step 3: Cross multiply
   83,776x = 179,688 × 179,688
4. Step 4: Simplify right side
   83,776x = 32,287,777,344
5. Step 5: Solve for x
   x = 32,287,777,344/83,776
6. Step 6: Final answer
   x = 385,406.05