Finding the Third Proportional to 77,870 and 111,354

Step by Step Solution

1. Step 1: Write the proportion equation
   77,870 : 111,354 = 111,354 : x
2. Step 2: Convert to fraction form
   77,870/111,354 = 111,354/x
3. Step 3: Cross multiply
   77,870x = 111,354 × 111,354
4. Step 4: Simplify right side
   77,870x = 12,399,713,316
5. Step 5: Solve for x
   x = 12,399,713,316/77,870
6. Step 6: Final answer
   x = 159,236.08