Finding the Third Proportional to 106,300.50 and 164,586

Step by Step Solution

1. Step 1: Write the proportion equation
   106,300.50 : 164,586 = 164,586 : x
2. Step 2: Convert to fraction form
   106,300.50/164,586 = 164,586/x
3. Step 3: Cross multiply
   106,300.50x = 164,586 × 164,586
4. Step 4: Simplify right side
   106,300.50x = 27,088,551,396
5. Step 5: Solve for x
   x = 27,088,551,396/106,300.50
6. Step 6: Final answer
   x = 254,829.95