Finding the Third Proportional to 82,633.50 and 178,389

Step by Step Solution

1. Step 1: Write the proportion equation
   82,633.50 : 178,389 = 178,389 : x
2. Step 2: Convert to fraction form
   82,633.50/178,389 = 178,389/x
3. Step 3: Cross multiply
   82,633.50x = 178,389 × 178,389
4. Step 4: Simplify right side
   82,633.50x = 31,822,635,321
5. Step 5: Solve for x
   x = 31,822,635,321/82,633.50
6. Step 6: Final answer
   x = 385,105.74