Finding the Third Proportional to 78,111 and 116,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,111 : 116,977.50 = 116,977.50 : x
2. Step 2: Convert to fraction form
   78,111/116,977.50 = 116,977.50/x
3. Step 3: Cross multiply
   78,111x = 116,977.50 × 116,977.50
4. Step 4: Simplify right side
   78,111x = 13,683,735,506.25
5. Step 5: Solve for x
   x = 13,683,735,506.25/78,111
6. Step 6: Final answer
   x = 175,183.21