Finding the Third Proportional to 82,354.50 and 179,769

Step by Step Solution

1. Step 1: Write the proportion equation
   82,354.50 : 179,769 = 179,769 : x
2. Step 2: Convert to fraction form
   82,354.50/179,769 = 179,769/x
3. Step 3: Cross multiply
   82,354.50x = 179,769 × 179,769
4. Step 4: Simplify right side
   82,354.50x = 32,316,893,361
5. Step 5: Solve for x
   x = 32,316,893,361/82,354.50
6. Step 6: Final answer
   x = 392,411.99