Finding the Third Proportional to 77,578 and 123,035

Step by Step Solution

1. Step 1: Write the proportion equation
   77,578 : 123,035 = 123,035 : x
2. Step 2: Convert to fraction form
   77,578/123,035 = 123,035/x
3. Step 3: Cross multiply
   77,578x = 123,035 × 123,035
4. Step 4: Simplify right side
   77,578x = 15,137,611,225
5. Step 5: Solve for x
   x = 15,137,611,225/77,578
6. Step 6: Final answer
   x = 195,127.63