Finding the Third Proportional to 76,992.50 and 114,364

Step by Step Solution

1. Step 1: Write the proportion equation
   76,992.50 : 114,364 = 114,364 : x
2. Step 2: Convert to fraction form
   76,992.50/114,364 = 114,364/x
3. Step 3: Cross multiply
   76,992.50x = 114,364 × 114,364
4. Step 4: Simplify right side
   76,992.50x = 13,079,124,496
5. Step 5: Solve for x
   x = 13,079,124,496/76,992.50
6. Step 6: Final answer
   x = 169,875.31