Finding the Third Proportional to 123,123.50 and 269,601.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,123.50 : 269,601.50 = 269,601.50 : x
2. Step 2: Convert to fraction form
   123,123.50/269,601.50 = 269,601.50/x
3. Step 3: Cross multiply
   123,123.50x = 269,601.50 × 269,601.50
4. Step 4: Simplify right side
   123,123.50x = 72,684,968,802.25
5. Step 5: Solve for x
   x = 72,684,968,802.25/123,123.50
6. Step 6: Final answer
   x = 590,341.96