Finding the Third Proportional to 209,748 and 314,644.50

Step by Step Solution

1. Step 1: Write the proportion equation
   209,748 : 314,644.50 = 314,644.50 : x
2. Step 2: Convert to fraction form
   209,748/314,644.50 = 314,644.50/x
3. Step 3: Cross multiply
   209,748x = 314,644.50 × 314,644.50
4. Step 4: Simplify right side
   209,748x = 99,001,161,380.25
5. Step 5: Solve for x
   x = 99,001,161,380.25/209,748
6. Step 6: Final answer
   x = 472,000.50