Finding the Third Proportional to 76,670.25 and 117,475.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,670.25 : 117,475.50 = 117,475.50 : x
2. Step 2: Convert to fraction form
   76,670.25/117,475.50 = 117,475.50/x
3. Step 3: Cross multiply
   76,670.25x = 117,475.50 × 117,475.50
4. Step 4: Simplify right side
   76,670.25x = 13,800,493,100.25
5. Step 5: Solve for x
   x = 13,800,493,100.25/76,670.25
6. Step 6: Final answer
   x = 179,998.02