Finding the Third Proportional to 76,672.50 and 162,457.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,672.50 : 162,457.50 = 162,457.50 : x
2. Step 2: Convert to fraction form
   76,672.50/162,457.50 = 162,457.50/x
3. Step 3: Cross multiply
   76,672.50x = 162,457.50 × 162,457.50
4. Step 4: Simplify right side
   76,672.50x = 26,392,439,306.25
5. Step 5: Solve for x
   x = 26,392,439,306.25/76,672.50
6. Step 6: Final answer
   x = 344,223.02