Finding the Third Proportional to 77,754 and 123,781

Step by Step Solution

1. Step 1: Write the proportion equation
   77,754 : 123,781 = 123,781 : x
2. Step 2: Convert to fraction form
   77,754/123,781 = 123,781/x
3. Step 3: Cross multiply
   77,754x = 123,781 × 123,781
4. Step 4: Simplify right side
   77,754x = 15,321,735,961
5. Step 5: Solve for x
   x = 15,321,735,961/77,754
6. Step 6: Final answer
   x = 197,053.99