Finding the Third Proportional to 75,518.50 and 176,376

Step by Step Solution

1. Step 1: Write the proportion equation
   75,518.50 : 176,376 = 176,376 : x
2. Step 2: Convert to fraction form
   75,518.50/176,376 = 176,376/x
3. Step 3: Cross multiply
   75,518.50x = 176,376 × 176,376
4. Step 4: Simplify right side
   75,518.50x = 31,108,493,376
5. Step 5: Solve for x
   x = 31,108,493,376/75,518.50
6. Step 6: Final answer
   x = 411,932.09