Finding the Third Proportional to 81,572 and 109,788

Step by Step Solution

1. Step 1: Write the proportion equation
   81,572 : 109,788 = 109,788 : x
2. Step 2: Convert to fraction form
   81,572/109,788 = 109,788/x
3. Step 3: Cross multiply
   81,572x = 109,788 × 109,788
4. Step 4: Simplify right side
   81,572x = 12,053,404,944
5. Step 5: Solve for x
   x = 12,053,404,944/81,572
6. Step 6: Final answer
   x = 147,764.00