Finding the Third Proportional to 83,554.50 and 183,025.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,554.50 : 183,025.50 = 183,025.50 : x
2. Step 2: Convert to fraction form
   83,554.50/183,025.50 = 183,025.50/x
3. Step 3: Cross multiply
   83,554.50x = 183,025.50 × 183,025.50
4. Step 4: Simplify right side
   83,554.50x = 33,498,333,650.25
5. Step 5: Solve for x
   x = 33,498,333,650.25/83,554.50
6. Step 6: Final answer
   x = 400,915.97