Finding the Third Proportional to 105,207 and 152,282.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105,207 : 152,282.25 = 152,282.25 : x
2. Step 2: Convert to fraction form
   105,207/152,282.25 = 152,282.25/x
3. Step 3: Cross multiply
   105,207x = 152,282.25 × 152,282.25
4. Step 4: Simplify right side
   105,207x = 23,189,883,665.06
5. Step 5: Solve for x
   x = 23,189,883,665.06/105,207
6. Step 6: Final answer
   x = 220,421.49