Finding the Third Proportional to 123,875 and 189,807

Step by Step Solution

1. Step 1: Write the proportion equation
   123,875 : 189,807 = 189,807 : x
2. Step 2: Convert to fraction form
   123,875/189,807 = 189,807/x
3. Step 3: Cross multiply
   123,875x = 189,807 × 189,807
4. Step 4: Simplify right side
   123,875x = 36,026,697,249
5. Step 5: Solve for x
   x = 36,026,697,249/123,875
6. Step 6: Final answer
   x = 290,831.06