Finding the Third Proportional to 175,973 and 283,327.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,973 : 283,327.50 = 283,327.50 : x
2. Step 2: Convert to fraction form
   175,973/283,327.50 = 283,327.50/x
3. Step 3: Cross multiply
   175,973x = 283,327.50 × 283,327.50
4. Step 4: Simplify right side
   175,973x = 80,274,472,256.25
5. Step 5: Solve for x
   x = 80,274,472,256.25/175,973
6. Step 6: Final answer
   x = 456,174.94