Finding the Third Proportional to 76,276 and 115,399.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,276 : 115,399.50 = 115,399.50 : x
2. Step 2: Convert to fraction form
   76,276/115,399.50 = 115,399.50/x
3. Step 3: Cross multiply
   76,276x = 115,399.50 × 115,399.50
4. Step 4: Simplify right side
   76,276x = 13,317,044,600.25
5. Step 5: Solve for x
   x = 13,317,044,600.25/76,276
6. Step 6: Final answer
   x = 174,590.23