Finding the Third Proportional to 302,569.50 and 411,123

Step by Step Solution

1. Step 1: Write the proportion equation
   302,569.50 : 411,123 = 411,123 : x
2. Step 2: Convert to fraction form
   302,569.50/411,123 = 411,123/x
3. Step 3: Cross multiply
   302,569.50x = 411,123 × 411,123
4. Step 4: Simplify right side
   302,569.50x = 169,022,121,129
5. Step 5: Solve for x
   x = 169,022,121,129/302,569.50
6. Step 6: Final answer
   x = 558,622.47