Finding the Third Proportional to 51,864 and 80,098.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,864 : 80,098.50 = 80,098.50 : x
2. Step 2: Convert to fraction form
   51,864/80,098.50 = 80,098.50/x
3. Step 3: Cross multiply
   51,864x = 80,098.50 × 80,098.50
4. Step 4: Simplify right side
   51,864x = 6,415,769,702.25
5. Step 5: Solve for x
   x = 6,415,769,702.25/51,864
6. Step 6: Final answer
   x = 123,703.72