Finding the Third Proportional to 82,056 and 175,776

Step by Step Solution

1. Step 1: Write the proportion equation
   82,056 : 175,776 = 175,776 : x
2. Step 2: Convert to fraction form
   82,056/175,776 = 175,776/x
3. Step 3: Cross multiply
   82,056x = 175,776 × 175,776
4. Step 4: Simplify right side
   82,056x = 30,897,202,176
5. Step 5: Solve for x
   x = 30,897,202,176/82,056
6. Step 6: Final answer
   x = 376,538.00