Finding the Third Proportional to 82,410 and 176,484

Step by Step Solution

1. Step 1: Write the proportion equation
   82,410 : 176,484 = 176,484 : x
2. Step 2: Convert to fraction form
   82,410/176,484 = 176,484/x
3. Step 3: Cross multiply
   82,410x = 176,484 × 176,484
4. Step 4: Simplify right side
   82,410x = 31,146,602,256
5. Step 5: Solve for x
   x = 31,146,602,256/82,410
6. Step 6: Final answer
   x = 377,946.88