Finding the Third Proportional to 58,002 and 123,111

Step by Step Solution

1. Step 1: Write the proportion equation
   58,002 : 123,111 = 123,111 : x
2. Step 2: Convert to fraction form
   58,002/123,111 = 123,111/x
3. Step 3: Cross multiply
   58,002x = 123,111 × 123,111
4. Step 4: Simplify right side
   58,002x = 15,156,318,321
5. Step 5: Solve for x
   x = 15,156,318,321/58,002
6. Step 6: Final answer
   x = 261,306.82