Finding the Third Proportional to 106,474.50 and 233,685

Step by Step Solution

1. Step 1: Write the proportion equation
   106,474.50 : 233,685 = 233,685 : x
2. Step 2: Convert to fraction form
   106,474.50/233,685 = 233,685/x
3. Step 3: Cross multiply
   106,474.50x = 233,685 × 233,685
4. Step 4: Simplify right side
   106,474.50x = 54,608,679,225
5. Step 5: Solve for x
   x = 54,608,679,225/106,474.50
6. Step 6: Final answer
   x = 512,880.35