Finding the Third Proportional to 83,633 and 174,190

Step by Step Solution

1. Step 1: Write the proportion equation
   83,633 : 174,190 = 174,190 : x
2. Step 2: Convert to fraction form
   83,633/174,190 = 174,190/x
3. Step 3: Cross multiply
   83,633x = 174,190 × 174,190
4. Step 4: Simplify right side
   83,633x = 30,342,156,100
5. Step 5: Solve for x
   x = 30,342,156,100/83,633
6. Step 6: Final answer
   x = 362,801.24