Finding the Third Proportional to 94,722 and 209,206.50

Step by Step Solution

1. Step 1: Write the proportion equation
   94,722 : 209,206.50 = 209,206.50 : x
2. Step 2: Convert to fraction form
   94,722/209,206.50 = 209,206.50/x
3. Step 3: Cross multiply
   94,722x = 209,206.50 × 209,206.50
4. Step 4: Simplify right side
   94,722x = 43,767,359,642.25
5. Step 5: Solve for x
   x = 43,767,359,642.25/94,722
6. Step 6: Final answer
   x = 462,061.19