Finding the Third Proportional to 42,264 and 91,830

Step by Step Solution

1. Step 1: Write the proportion equation
   42,264 : 91,830 = 91,830 : x
2. Step 2: Convert to fraction form
   42,264/91,830 = 91,830/x
3. Step 3: Cross multiply
   42,264x = 91,830 × 91,830
4. Step 4: Simplify right side
   42,264x = 8,432,748,900
5. Step 5: Solve for x
   x = 8,432,748,900/42,264
6. Step 6: Final answer
   x = 199,525.57