Finding the Third Proportional to 78,045.50 and 116,754.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,045.50 : 116,754.50 = 116,754.50 : x
2. Step 2: Convert to fraction form
   78,045.50/116,754.50 = 116,754.50/x
3. Step 3: Cross multiply
   78,045.50x = 116,754.50 × 116,754.50
4. Step 4: Simplify right side
   78,045.50x = 13,631,613,270.25
5. Step 5: Solve for x
   x = 13,631,613,270.25/78,045.50
6. Step 6: Final answer
   x = 174,662.39