Finding the Third Proportional to 123,888 and 189,552

Step by Step Solution

1. Step 1: Write the proportion equation
   123,888 : 189,552 = 189,552 : x
2. Step 2: Convert to fraction form
   123,888/189,552 = 189,552/x
3. Step 3: Cross multiply
   123,888x = 189,552 × 189,552
4. Step 4: Simplify right side
   123,888x = 35,929,960,704
5. Step 5: Solve for x
   x = 35,929,960,704/123,888
6. Step 6: Final answer
   x = 290,019.70