Finding the Third Proportional to 78,784 and 114,790

Step by Step Solution

1. Step 1: Write the proportion equation
   78,784 : 114,790 = 114,790 : x
2. Step 2: Convert to fraction form
   78,784/114,790 = 114,790/x
3. Step 3: Cross multiply
   78,784x = 114,790 × 114,790
4. Step 4: Simplify right side
   78,784x = 13,176,744,100
5. Step 5: Solve for x
   x = 13,176,744,100/78,784
6. Step 6: Final answer
   x = 167,251.52