Finding the Third Proportional to 111,938 and 169,547

Step by Step Solution

1. Step 1: Write the proportion equation
   111,938 : 169,547 = 169,547 : x
2. Step 2: Convert to fraction form
   111,938/169,547 = 169,547/x
3. Step 3: Cross multiply
   111,938x = 169,547 × 169,547
4. Step 4: Simplify right side
   111,938x = 28,746,185,209
5. Step 5: Solve for x
   x = 28,746,185,209/111,938
6. Step 6: Final answer
   x = 256,804.53