Finding the Third Proportional to 106,317 and 164,500.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,317 : 164,500.50 = 164,500.50 : x
2. Step 2: Convert to fraction form
   106,317/164,500.50 = 164,500.50/x
3. Step 3: Cross multiply
   106,317x = 164,500.50 × 164,500.50
4. Step 4: Simplify right side
   106,317x = 27,060,414,500.25
5. Step 5: Solve for x
   x = 27,060,414,500.25/106,317
6. Step 6: Final answer
   x = 254,525.75