Finding the Third Proportional to 76,788 and 167,494.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,788 : 167,494.50 = 167,494.50 : x
2. Step 2: Convert to fraction form
   76,788/167,494.50 = 167,494.50/x
3. Step 3: Cross multiply
   76,788x = 167,494.50 × 167,494.50
4. Step 4: Simplify right side
   76,788x = 28,054,407,530.25
5. Step 5: Solve for x
   x = 28,054,407,530.25/76,788
6. Step 6: Final answer
   x = 365,348.85