Finding the Third Proportional to 30,457 and 73,374.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,457 : 73,374.50 = 73,374.50 : x
2. Step 2: Convert to fraction form
   30,457/73,374.50 = 73,374.50/x
3. Step 3: Cross multiply
   30,457x = 73,374.50 × 73,374.50
4. Step 4: Simplify right side
   30,457x = 5,383,817,250.25
5. Step 5: Solve for x
   x = 5,383,817,250.25/30,457
6. Step 6: Final answer
   x = 176,767.81