Finding the Third Proportional to 78,866 and 113,364

Step by Step Solution

1. Step 1: Write the proportion equation
   78,866 : 113,364 = 113,364 : x
2. Step 2: Convert to fraction form
   78,866/113,364 = 113,364/x
3. Step 3: Cross multiply
   78,866x = 113,364 × 113,364
4. Step 4: Simplify right side
   78,866x = 12,851,396,496
5. Step 5: Solve for x
   x = 12,851,396,496/78,866
6. Step 6: Final answer
   x = 162,952.31