Finding the Third Proportional to 81,114 and 108,501

Step by Step Solution

1. Step 1: Write the proportion equation
   81,114 : 108,501 = 108,501 : x
2. Step 2: Convert to fraction form
   81,114/108,501 = 108,501/x
3. Step 3: Cross multiply
   81,114x = 108,501 × 108,501
4. Step 4: Simplify right side
   81,114x = 11,772,467,001
5. Step 5: Solve for x
   x = 11,772,467,001/81,114
6. Step 6: Final answer
   x = 145,134.83