Finding the Third Proportional to 81,663 and 128,326.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,663 : 128,326.50 = 128,326.50 : x
2. Step 2: Convert to fraction form
   81,663/128,326.50 = 128,326.50/x
3. Step 3: Cross multiply
   81,663x = 128,326.50 × 128,326.50
4. Step 4: Simplify right side
   81,663x = 16,467,690,602.25
5. Step 5: Solve for x
   x = 16,467,690,602.25/81,663
6. Step 6: Final answer
   x = 201,654.24