Finding the Third Proportional to 51,948 and 77,920.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,948 : 77,920.50 = 77,920.50 : x
2. Step 2: Convert to fraction form
   51,948/77,920.50 = 77,920.50/x
3. Step 3: Cross multiply
   51,948x = 77,920.50 × 77,920.50
4. Step 4: Simplify right side
   51,948x = 6,071,604,320.25
5. Step 5: Solve for x
   x = 6,071,604,320.25/51,948
6. Step 6: Final answer
   x = 116,878.50