Finding the Third Proportional to 42,234 and 91,770

Step by Step Solution

1. Step 1: Write the proportion equation
   42,234 : 91,770 = 91,770 : x
2. Step 2: Convert to fraction form
   42,234/91,770 = 91,770/x
3. Step 3: Cross multiply
   42,234x = 91,770 × 91,770
4. Step 4: Simplify right side
   42,234x = 8,421,732,900
5. Step 5: Solve for x
   x = 8,421,732,900/42,234
6. Step 6: Final answer
   x = 199,406.47