Finding the Third Proportional to 81,769.50 and 182,101.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,769.50 : 182,101.50 = 182,101.50 : x
2. Step 2: Convert to fraction form
   81,769.50/182,101.50 = 182,101.50/x
3. Step 3: Cross multiply
   81,769.50x = 182,101.50 × 182,101.50
4. Step 4: Simplify right side
   81,769.50x = 33,160,956,302.25
5. Step 5: Solve for x
   x = 33,160,956,302.25/81,769.50
6. Step 6: Final answer
   x = 405,541.87