Finding the Third Proportional to 76,701 and 116,239.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,701 : 116,239.50 = 116,239.50 : x
2. Step 2: Convert to fraction form
   76,701/116,239.50 = 116,239.50/x
3. Step 3: Cross multiply
   76,701x = 116,239.50 × 116,239.50
4. Step 4: Simplify right side
   76,701x = 13,511,621,360.25
5. Step 5: Solve for x
   x = 13,511,621,360.25/76,701
6. Step 6: Final answer
   x = 176,159.65