Finding the Third Proportional to 84,628.50 and 185,554.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,628.50 : 185,554.50 = 185,554.50 : x
2. Step 2: Convert to fraction form
   84,628.50/185,554.50 = 185,554.50/x
3. Step 3: Cross multiply
   84,628.50x = 185,554.50 × 185,554.50
4. Step 4: Simplify right side
   84,628.50x = 34,430,472,470.25
5. Step 5: Solve for x
   x = 34,430,472,470.25/84,628.50
6. Step 6: Final answer
   x = 406,842.52