Finding the Third Proportional to 58,125 and 82,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   58,125 : 82,269.50 = 82,269.50 : x
2. Step 2: Convert to fraction form
   58,125/82,269.50 = 82,269.50/x
3. Step 3: Cross multiply
   58,125x = 82,269.50 × 82,269.50
4. Step 4: Simplify right side
   58,125x = 6,768,270,630.25
5. Step 5: Solve for x
   x = 6,768,270,630.25/58,125
6. Step 6: Final answer
   x = 116,443.37