Finding the Third Proportional to 52,302 and 78,942

Step by Step Solution

1. Step 1: Write the proportion equation
   52,302 : 78,942 = 78,942 : x
2. Step 2: Convert to fraction form
   52,302/78,942 = 78,942/x
3. Step 3: Cross multiply
   52,302x = 78,942 × 78,942
4. Step 4: Simplify right side
   52,302x = 6,231,839,364
5. Step 5: Solve for x
   x = 6,231,839,364/52,302
6. Step 6: Final answer
   x = 119,151.07