Finding the Third Proportional to 83,480 and 182,776

Step by Step Solution

1. Step 1: Write the proportion equation
   83,480 : 182,776 = 182,776 : x
2. Step 2: Convert to fraction form
   83,480/182,776 = 182,776/x
3. Step 3: Cross multiply
   83,480x = 182,776 × 182,776
4. Step 4: Simplify right side
   83,480x = 33,407,066,176
5. Step 5: Solve for x
   x = 33,407,066,176/83,480
6. Step 6: Final answer
   x = 400,180.48