Finding the Third Proportional to 45,780 and 98,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,780 : 98,462.50 = 98,462.50 : x
2. Step 2: Convert to fraction form
   45,780/98,462.50 = 98,462.50/x
3. Step 3: Cross multiply
   45,780x = 98,462.50 × 98,462.50
4. Step 4: Simplify right side
   45,780x = 9,694,863,906.25
5. Step 5: Solve for x
   x = 9,694,863,906.25/45,780
6. Step 6: Final answer
   x = 211,770.73