Finding the Third Proportional to 77,102 and 123,034

Step by Step Solution

1. Step 1: Write the proportion equation
   77,102 : 123,034 = 123,034 : x
2. Step 2: Convert to fraction form
   77,102/123,034 = 123,034/x
3. Step 3: Cross multiply
   77,102x = 123,034 × 123,034
4. Step 4: Simplify right side
   77,102x = 15,137,365,156
5. Step 5: Solve for x
   x = 15,137,365,156/77,102
6. Step 6: Final answer
   x = 196,329.09