Finding the Third Proportional to 77,394 and 123,003

Step by Step Solution

1. Step 1: Write the proportion equation
   77,394 : 123,003 = 123,003 : x
2. Step 2: Convert to fraction form
   77,394/123,003 = 123,003/x
3. Step 3: Cross multiply
   77,394x = 123,003 × 123,003
4. Step 4: Simplify right side
   77,394x = 15,129,738,009
5. Step 5: Solve for x
   x = 15,129,738,009/77,394
6. Step 6: Final answer
   x = 195,489.81