Finding the Third Proportional to 82,783.50 and 175,428

Step by Step Solution

1. Step 1: Write the proportion equation
   82,783.50 : 175,428 = 175,428 : x
2. Step 2: Convert to fraction form
   82,783.50/175,428 = 175,428/x
3. Step 3: Cross multiply
   82,783.50x = 175,428 × 175,428
4. Step 4: Simplify right side
   82,783.50x = 30,774,983,184
5. Step 5: Solve for x
   x = 30,774,983,184/82,783.50
6. Step 6: Final answer
   x = 371,752.62