Finding the Third Proportional to 161,910 and 214,159.50

Step by Step Solution

1. Step 1: Write the proportion equation
   161,910 : 214,159.50 = 214,159.50 : x
2. Step 2: Convert to fraction form
   161,910/214,159.50 = 214,159.50/x
3. Step 3: Cross multiply
   161,910x = 214,159.50 × 214,159.50
4. Step 4: Simplify right side
   161,910x = 45,864,291,440.25
5. Step 5: Solve for x
   x = 45,864,291,440.25/161,910
6. Step 6: Final answer
   x = 283,270.28