Finding the Third Proportional to 103,494 and 151,830

Step by Step Solution

1. Step 1: Write the proportion equation
   103,494 : 151,830 = 151,830 : x
2. Step 2: Convert to fraction form
   103,494/151,830 = 151,830/x
3. Step 3: Cross multiply
   103,494x = 151,830 × 151,830
4. Step 4: Simplify right side
   103,494x = 23,052,348,900
5. Step 5: Solve for x
   x = 23,052,348,900/103,494
6. Step 6: Final answer
   x = 222,740.92