Finding the Third Proportional to 76,078 and 114,131.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,078 : 114,131.50 = 114,131.50 : x
2. Step 2: Convert to fraction form
   76,078/114,131.50 = 114,131.50/x
3. Step 3: Cross multiply
   76,078x = 114,131.50 × 114,131.50
4. Step 4: Simplify right side
   76,078x = 13,025,999,292.25
5. Step 5: Solve for x
   x = 13,025,999,292.25/76,078
6. Step 6: Final answer
   x = 171,219.00