Finding the Third Proportional to 76,991.50 and 114,362.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,991.50 : 114,362.50 = 114,362.50 : x
2. Step 2: Convert to fraction form
   76,991.50/114,362.50 = 114,362.50/x
3. Step 3: Cross multiply
   76,991.50x = 114,362.50 × 114,362.50
4. Step 4: Simplify right side
   76,991.50x = 13,078,781,406.25
5. Step 5: Solve for x
   x = 13,078,781,406.25/76,991.50
6. Step 6: Final answer
   x = 169,873.06