Finding the Third Proportional to 77,348 and 123,077

Step by Step Solution

1. Step 1: Write the proportion equation
   77,348 : 123,077 = 123,077 : x
2. Step 2: Convert to fraction form
   77,348/123,077 = 123,077/x
3. Step 3: Cross multiply
   77,348x = 123,077 × 123,077
4. Step 4: Simplify right side
   77,348x = 15,147,947,929
5. Step 5: Solve for x
   x = 15,147,947,929/77,348
6. Step 6: Final answer
   x = 195,841.49