Finding the Third Proportional to 80,025 and 114,363

Step by Step Solution

1. Step 1: Write the proportion equation
   80,025 : 114,363 = 114,363 : x
2. Step 2: Convert to fraction form
   80,025/114,363 = 114,363/x
3. Step 3: Cross multiply
   80,025x = 114,363 × 114,363
4. Step 4: Simplify right side
   80,025x = 13,078,895,769
5. Step 5: Solve for x
   x = 13,078,895,769/80,025
6. Step 6: Final answer
   x = 163,435.12