Finding the Third Proportional to 76,681.50 and 117,699.38

Step by Step Solution

1. Step 1: Write the proportion equation
   76,681.50 : 117,699.38 = 117,699.38 : x
2. Step 2: Convert to fraction form
   76,681.50/117,699.38 = 117,699.38/x
3. Step 3: Cross multiply
   76,681.50x = 117,699.38 × 117,699.38
4. Step 4: Simplify right side
   76,681.50x = 13,853,142,875.39
5. Step 5: Solve for x
   x = 13,853,142,875.39/76,681.50
6. Step 6: Final answer
   x = 180,658.21