Finding the Third Proportional to 76,786.50 and 118,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,786.50 : 118,459.50 = 118,459.50 : x
2. Step 2: Convert to fraction form
   76,786.50/118,459.50 = 118,459.50/x
3. Step 3: Cross multiply
   76,786.50x = 118,459.50 × 118,459.50
4. Step 4: Simplify right side
   76,786.50x = 14,032,653,140.25
5. Step 5: Solve for x
   x = 14,032,653,140.25/76,786.50
6. Step 6: Final answer
   x = 182,748.96