Finding the Third Proportional to 72,501 and 102,099

Step by Step Solution

1. Step 1: Write the proportion equation
   72,501 : 102,099 = 102,099 : x
2. Step 2: Convert to fraction form
   72,501/102,099 = 102,099/x
3. Step 3: Cross multiply
   72,501x = 102,099 × 102,099
4. Step 4: Simplify right side
   72,501x = 10,424,205,801
5. Step 5: Solve for x
   x = 10,424,205,801/72,501
6. Step 6: Final answer
   x = 143,780.17