Finding the Third Proportional to 76,788 and 159,706.69

Step by Step Solution

1. Step 1: Write the proportion equation
   76,788 : 159,706.69 = 159,706.69 : x
2. Step 2: Convert to fraction form
   76,788/159,706.69 = 159,706.69/x
3. Step 3: Cross multiply
   76,788x = 159,706.69 × 159,706.69
4. Step 4: Simplify right side
   76,788x = 25,506,226,032.22
5. Step 5: Solve for x
   x = 25,506,226,032.22/76,788
6. Step 6: Final answer
   x = 332,164.22