Finding the Third Proportional to 81,547.50 and 172,896

Step by Step Solution

1. Step 1: Write the proportion equation
   81,547.50 : 172,896 = 172,896 : x
2. Step 2: Convert to fraction form
   81,547.50/172,896 = 172,896/x
3. Step 3: Cross multiply
   81,547.50x = 172,896 × 172,896
4. Step 4: Simplify right side
   81,547.50x = 29,893,026,816
5. Step 5: Solve for x
   x = 29,893,026,816/81,547.50
6. Step 6: Final answer
   x = 366,571.96