Finding the Third Proportional to 76,671 and 116,389.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,671 : 116,389.50 = 116,389.50 : x
2. Step 2: Convert to fraction form
   76,671/116,389.50 = 116,389.50/x
3. Step 3: Cross multiply
   76,671x = 116,389.50 × 116,389.50
4. Step 4: Simplify right side
   76,671x = 13,546,515,710.25
5. Step 5: Solve for x
   x = 13,546,515,710.25/76,671
6. Step 6: Final answer
   x = 176,683.70