Finding the Third Proportional to 105,206.50 and 152,281.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,206.50 : 152,281.50 = 152,281.50 : x
2. Step 2: Convert to fraction form
   105,206.50/152,281.50 = 152,281.50/x
3. Step 3: Cross multiply
   105,206.50x = 152,281.50 × 152,281.50
4. Step 4: Simplify right side
   105,206.50x = 23,189,655,242.25
5. Step 5: Solve for x
   x = 23,189,655,242.25/105,206.50
6. Step 6: Final answer
   x = 220,420.37