Finding the Third Proportional to 116,376 and 175,536

Step by Step Solution

1. Step 1: Write the proportion equation
   116,376 : 175,536 = 175,536 : x
2. Step 2: Convert to fraction form
   116,376/175,536 = 175,536/x
3. Step 3: Cross multiply
   116,376x = 175,536 × 175,536
4. Step 4: Simplify right side
   116,376x = 30,812,887,296
5. Step 5: Solve for x
   x = 30,812,887,296/116,376
6. Step 6: Final answer
   x = 264,770.12