Finding the Third Proportional to 83,684.63 and 174,138

Step by Step Solution

1. Step 1: Write the proportion equation
   83,684.63 : 174,138 = 174,138 : x
2. Step 2: Convert to fraction form
   83,684.63/174,138 = 174,138/x
3. Step 3: Cross multiply
   83,684.63x = 174,138 × 174,138
4. Step 4: Simplify right side
   83,684.63x = 30,324,043,044
5. Step 5: Solve for x
   x = 30,324,043,044/83,684.63
6. Step 6: Final answer
   x = 362,360.98