Finding the Third Proportional to 95,478 and 209,302.50

Step by Step Solution

1. Step 1: Write the proportion equation
   95,478 : 209,302.50 = 209,302.50 : x
2. Step 2: Convert to fraction form
   95,478/209,302.50 = 209,302.50/x
3. Step 3: Cross multiply
   95,478x = 209,302.50 × 209,302.50
4. Step 4: Simplify right side
   95,478x = 43,807,536,506.25
5. Step 5: Solve for x
   x = 43,807,536,506.25/95,478
6. Step 6: Final answer
   x = 458,823.36