Finding the Third Proportional to 83,389.50 and 182,467.69

Step by Step Solution

1. Step 1: Write the proportion equation
   83,389.50 : 182,467.69 = 182,467.69 : x
2. Step 2: Convert to fraction form
   83,389.50/182,467.69 = 182,467.69/x
3. Step 3: Cross multiply
   83,389.50x = 182,467.69 × 182,467.69
4. Step 4: Simplify right side
   83,389.50x = 33,294,456,981.60
5. Step 5: Solve for x
   x = 33,294,456,981.60/83,389.50
6. Step 6: Final answer
   x = 399,264.38