Finding the Third Proportional to 72,554 and 102,699

Step by Step Solution

1. Step 1: Write the proportion equation
   72,554 : 102,699 = 102,699 : x
2. Step 2: Convert to fraction form
   72,554/102,699 = 102,699/x
3. Step 3: Cross multiply
   72,554x = 102,699 × 102,699
4. Step 4: Simplify right side
   72,554x = 10,547,084,601
5. Step 5: Solve for x
   x = 10,547,084,601/72,554
6. Step 6: Final answer
   x = 145,368.75