Finding the Third Proportional to 73,780 and 111,547

Step by Step Solution

1. Step 1: Write the proportion equation
   73,780 : 111,547 = 111,547 : x
2. Step 2: Convert to fraction form
   73,780/111,547 = 111,547/x
3. Step 3: Cross multiply
   73,780x = 111,547 × 111,547
4. Step 4: Simplify right side
   73,780x = 12,442,733,209
5. Step 5: Solve for x
   x = 12,442,733,209/73,780
6. Step 6: Final answer
   x = 168,646.42