Finding the Third Proportional to 105,597 and 164,875.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,597 : 164,875.50 = 164,875.50 : x
2. Step 2: Convert to fraction form
   105,597/164,875.50 = 164,875.50/x
3. Step 3: Cross multiply
   105,597x = 164,875.50 × 164,875.50
4. Step 4: Simplify right side
   105,597x = 27,183,930,500.25
5. Step 5: Solve for x
   x = 27,183,930,500.25/105,597
6. Step 6: Final answer
   x = 257,430.90