Finding the Third Proportional to 82,076 and 176,710

Step by Step Solution

1. Step 1: Write the proportion equation
   82,076 : 176,710 = 176,710 : x
2. Step 2: Convert to fraction form
   82,076/176,710 = 176,710/x
3. Step 3: Cross multiply
   82,076x = 176,710 × 176,710
4. Step 4: Simplify right side
   82,076x = 31,226,424,100
5. Step 5: Solve for x
   x = 31,226,424,100/82,076
6. Step 6: Final answer
   x = 380,457.43