Finding the Third Proportional to 123,032 and 269,038

Step by Step Solution

1. Step 1: Write the proportion equation
   123,032 : 269,038 = 269,038 : x
2. Step 2: Convert to fraction form
   123,032/269,038 = 269,038/x
3. Step 3: Cross multiply
   123,032x = 269,038 × 269,038
4. Step 4: Simplify right side
   123,032x = 72,381,445,444
5. Step 5: Solve for x
   x = 72,381,445,444/123,032
6. Step 6: Final answer
   x = 588,313.98