Finding the Third Proportional to 78,790.50 and 182,214

Step by Step Solution

1. Step 1: Write the proportion equation
   78,790.50 : 182,214 = 182,214 : x
2. Step 2: Convert to fraction form
   78,790.50/182,214 = 182,214/x
3. Step 3: Cross multiply
   78,790.50x = 182,214 × 182,214
4. Step 4: Simplify right side
   78,790.50x = 33,201,941,796
5. Step 5: Solve for x
   x = 33,201,941,796/78,790.50
6. Step 6: Final answer
   x = 421,395.24