Finding the Third Proportional to 77,866 and 111,346

Step by Step Solution

1. Step 1: Write the proportion equation
   77,866 : 111,346 = 111,346 : x
2. Step 2: Convert to fraction form
   77,866/111,346 = 111,346/x
3. Step 3: Cross multiply
   77,866x = 111,346 × 111,346
4. Step 4: Simplify right side
   77,866x = 12,397,931,716
5. Step 5: Solve for x
   x = 12,397,931,716/77,866
6. Step 6: Final answer
   x = 159,221.38