Finding the Third Proportional to 175,009.50 and 404,212.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,009.50 : 404,212.50 = 404,212.50 : x
2. Step 2: Convert to fraction form
   175,009.50/404,212.50 = 404,212.50/x
3. Step 3: Cross multiply
   175,009.50x = 404,212.50 × 404,212.50
4. Step 4: Simplify right side
   175,009.50x = 163,387,745,156.25
5. Step 5: Solve for x
   x = 163,387,745,156.25/175,009.50
6. Step 6: Final answer
   x = 933,593.58