Finding the Third Proportional to 65,146 and 103,547

Step by Step Solution

1. Step 1: Write the proportion equation
   65,146 : 103,547 = 103,547 : x
2. Step 2: Convert to fraction form
   65,146/103,547 = 103,547/x
3. Step 3: Cross multiply
   65,146x = 103,547 × 103,547
4. Step 4: Simplify right side
   65,146x = 10,721,981,209
5. Step 5: Solve for x
   x = 10,721,981,209/65,146
6. Step 6: Final answer
   x = 164,583.88