Finding the Third Proportional to 76,671 and 117,683.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,671 : 117,683.50 = 117,683.50 : x
2. Step 2: Convert to fraction form
   76,671/117,683.50 = 117,683.50/x
3. Step 3: Cross multiply
   76,671x = 117,683.50 × 117,683.50
4. Step 4: Simplify right side
   76,671x = 13,849,406,172.25
5. Step 5: Solve for x
   x = 13,849,406,172.25/76,671
6. Step 6: Final answer
   x = 180,634.22