Finding the Third Proportional to 209,166 and 314,225.50

Step by Step Solution

1. Step 1: Write the proportion equation
   209,166 : 314,225.50 = 314,225.50 : x
2. Step 2: Convert to fraction form
   209,166/314,225.50 = 314,225.50/x
3. Step 3: Cross multiply
   209,166x = 314,225.50 × 314,225.50
4. Step 4: Simplify right side
   209,166x = 98,737,664,850.25
5. Step 5: Solve for x
   x = 98,737,664,850.25/209,166
6. Step 6: Final answer
   x = 472,054.09