Finding the Third Proportional to 51,972 and 78,428.25

Step by Step Solution

1. Step 1: Write the proportion equation
   51,972 : 78,428.25 = 78,428.25 : x
2. Step 2: Convert to fraction form
   51,972/78,428.25 = 78,428.25/x
3. Step 3: Cross multiply
   51,972x = 78,428.25 × 78,428.25
4. Step 4: Simplify right side
   51,972x = 6,150,990,398.06
5. Step 5: Solve for x
   x = 6,150,990,398.06/51,972
6. Step 6: Final answer
   x = 118,352.00