Finding the Third Proportional to 106,476 and 164,839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,476 : 164,839.50 = 164,839.50 : x
2. Step 2: Convert to fraction form
   106,476/164,839.50 = 164,839.50/x
3. Step 3: Cross multiply
   106,476x = 164,839.50 × 164,839.50
4. Step 4: Simplify right side
   106,476x = 27,172,060,760.25
5. Step 5: Solve for x
   x = 27,172,060,760.25/106,476
6. Step 6: Final answer
   x = 255,194.23