Finding the Third Proportional to 209,045.50 and 308,647.50

Step by Step Solution

1. Step 1: Write the proportion equation
   209,045.50 : 308,647.50 = 308,647.50 : x
2. Step 2: Convert to fraction form
   209,045.50/308,647.50 = 308,647.50/x
3. Step 3: Cross multiply
   209,045.50x = 308,647.50 × 308,647.50
4. Step 4: Simplify right side
   209,045.50x = 95,263,279,256.25
5. Step 5: Solve for x
   x = 95,263,279,256.25/209,045.50
6. Step 6: Final answer
   x = 455,705.96