Finding the Third Proportional to 42,830 and 91,250

Step by Step Solution

1. Step 1: Write the proportion equation
   42,830 : 91,250 = 91,250 : x
2. Step 2: Convert to fraction form
   42,830/91,250 = 91,250/x
3. Step 3: Cross multiply
   42,830x = 91,250 × 91,250
4. Step 4: Simplify right side
   42,830x = 8,326,562,500
5. Step 5: Solve for x
   x = 8,326,562,500/42,830
6. Step 6: Final answer
   x = 194,409.58