Finding the Third Proportional to 53,919 and 82,390.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,919 : 82,390.50 = 82,390.50 : x
2. Step 2: Convert to fraction form
   53,919/82,390.50 = 82,390.50/x
3. Step 3: Cross multiply
   53,919x = 82,390.50 × 82,390.50
4. Step 4: Simplify right side
   53,919x = 6,788,194,490.25
5. Step 5: Solve for x
   x = 6,788,194,490.25/53,919
6. Step 6: Final answer
   x = 125,896.15