Finding the Third Proportional to 141,971 and 219,796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   141,971 : 219,796.50 = 219,796.50 : x
2. Step 2: Convert to fraction form
   141,971/219,796.50 = 219,796.50/x
3. Step 3: Cross multiply
   141,971x = 219,796.50 × 219,796.50
4. Step 4: Simplify right side
   141,971x = 48,310,501,412.25
5. Step 5: Solve for x
   x = 48,310,501,412.25/141,971
6. Step 6: Final answer
   x = 340,284.29