Finding the Third Proportional to 83,583 and 174,091.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,583 : 174,091.50 = 174,091.50 : x
2. Step 2: Convert to fraction form
   83,583/174,091.50 = 174,091.50/x
3. Step 3: Cross multiply
   83,583x = 174,091.50 × 174,091.50
4. Step 4: Simplify right side
   83,583x = 30,307,850,372.25
5. Step 5: Solve for x
   x = 30,307,850,372.25/83,583
6. Step 6: Final answer
   x = 362,607.83