Finding the Third Proportional to 81,877.50 and 130,196.25

Step by Step Solution

1. Step 1: Write the proportion equation
   81,877.50 : 130,196.25 = 130,196.25 : x
2. Step 2: Convert to fraction form
   81,877.50/130,196.25 = 130,196.25/x
3. Step 3: Cross multiply
   81,877.50x = 130,196.25 × 130,196.25
4. Step 4: Simplify right side
   81,877.50x = 16,951,063,514.06
5. Step 5: Solve for x
   x = 16,951,063,514.06/81,877.50
6. Step 6: Final answer
   x = 207,029.57