Finding the Third Proportional to 76,993 and 114,364.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,993 : 114,364.50 = 114,364.50 : x
2. Step 2: Convert to fraction form
   76,993/114,364.50 = 114,364.50/x
3. Step 3: Cross multiply
   76,993x = 114,364.50 × 114,364.50
4. Step 4: Simplify right side
   76,993x = 13,079,238,860.25
5. Step 5: Solve for x
   x = 13,079,238,860.25/76,993
6. Step 6: Final answer
   x = 169,875.69