Finding the Third Proportional to 78,136.50 and 116,689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,136.50 : 116,689.50 = 116,689.50 : x
2. Step 2: Convert to fraction form
   78,136.50/116,689.50 = 116,689.50/x
3. Step 3: Cross multiply
   78,136.50x = 116,689.50 × 116,689.50
4. Step 4: Simplify right side
   78,136.50x = 13,616,439,410.25
5. Step 5: Solve for x
   x = 13,616,439,410.25/78,136.50
6. Step 6: Final answer
   x = 174,264.77