Finding the Third Proportional to 176,536 and 362,457.50

Step by Step Solution

1. Step 1: Write the proportion equation
   176,536 : 362,457.50 = 362,457.50 : x
2. Step 2: Convert to fraction form
   176,536/362,457.50 = 362,457.50/x
3. Step 3: Cross multiply
   176,536x = 362,457.50 × 362,457.50
4. Step 4: Simplify right side
   176,536x = 131,375,439,306.25
5. Step 5: Solve for x
   x = 131,375,439,306.25/176,536
6. Step 6: Final answer
   x = 744,184.98