Finding the Third Proportional to 109,194 and 231,510

Step by Step Solution

1. Step 1: Write the proportion equation
   109,194 : 231,510 = 231,510 : x
2. Step 2: Convert to fraction form
   109,194/231,510 = 231,510/x
3. Step 3: Cross multiply
   109,194x = 231,510 × 231,510
4. Step 4: Simplify right side
   109,194x = 53,596,880,100
5. Step 5: Solve for x
   x = 53,596,880,100/109,194
6. Step 6: Final answer
   x = 490,840.89