Finding the Third Proportional to 224,766 and 316,171.50

Step by Step Solution

1. Step 1: Write the proportion equation
   224,766 : 316,171.50 = 316,171.50 : x
2. Step 2: Convert to fraction form
   224,766/316,171.50 = 316,171.50/x
3. Step 3: Cross multiply
   224,766x = 316,171.50 × 316,171.50
4. Step 4: Simplify right side
   224,766x = 99,964,417,412.25
5. Step 5: Solve for x
   x = 99,964,417,412.25/224,766
6. Step 6: Final answer
   x = 444,748.84