Finding the Third Proportional to 133,776 and 182,210

Step by Step Solution

1. Step 1: Write the proportion equation
   133,776 : 182,210 = 182,210 : x
2. Step 2: Convert to fraction form
   133,776/182,210 = 182,210/x
3. Step 3: Cross multiply
   133,776x = 182,210 × 182,210
4. Step 4: Simplify right side
   133,776x = 33,200,484,100
5. Step 5: Solve for x
   x = 33,200,484,100/133,776
6. Step 6: Final answer
   x = 248,179.67