Finding the Third Proportional to 106,057.50 and 155,521.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,057.50 : 155,521.50 = 155,521.50 : x
2. Step 2: Convert to fraction form
   106,057.50/155,521.50 = 155,521.50/x
3. Step 3: Cross multiply
   106,057.50x = 155,521.50 × 155,521.50
4. Step 4: Simplify right side
   106,057.50x = 24,186,936,962.25
5. Step 5: Solve for x
   x = 24,186,936,962.25/106,057.50
6. Step 6: Final answer
   x = 228,054.94