Finding the Third Proportional to 106,312.50 and 164,493

Step by Step Solution

1. Step 1: Write the proportion equation
   106,312.50 : 164,493 = 164,493 : x
2. Step 2: Convert to fraction form
   106,312.50/164,493 = 164,493/x
3. Step 3: Cross multiply
   106,312.50x = 164,493 × 164,493
4. Step 4: Simplify right side
   106,312.50x = 27,057,947,049
5. Step 5: Solve for x
   x = 27,057,947,049/106,312.50
6. Step 6: Final answer
   x = 254,513.32