Finding the Third Proportional to 209,167.50 and 314,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   209,167.50 : 314,227.50 = 314,227.50 : x
2. Step 2: Convert to fraction form
   209,167.50/314,227.50 = 314,227.50/x
3. Step 3: Cross multiply
   209,167.50x = 314,227.50 × 314,227.50
4. Step 4: Simplify right side
   209,167.50x = 98,738,921,756.25
5. Step 5: Solve for x
   x = 98,738,921,756.25/209,167.50
6. Step 6: Final answer
   x = 472,056.71