Finding the Third Proportional to 51,146 and 78,502

Step by Step Solution

1. Step 1: Write the proportion equation
   51,146 : 78,502 = 78,502 : x
2. Step 2: Convert to fraction form
   51,146/78,502 = 78,502/x
3. Step 3: Cross multiply
   51,146x = 78,502 × 78,502
4. Step 4: Simplify right side
   51,146x = 6,162,564,004
5. Step 5: Solve for x
   x = 6,162,564,004/51,146
6. Step 6: Final answer
   x = 120,489.66