Finding the Third Proportional to 97,699.50 and 213,077.25

Step by Step Solution

1. Step 1: Write the proportion equation
   97,699.50 : 213,077.25 = 213,077.25 : x
2. Step 2: Convert to fraction form
   97,699.50/213,077.25 = 213,077.25/x
3. Step 3: Cross multiply
   97,699.50x = 213,077.25 × 213,077.25
4. Step 4: Simplify right side
   97,699.50x = 45,401,914,467.56
5. Step 5: Solve for x
   x = 45,401,914,467.56/97,699.50
6. Step 6: Final answer
   x = 464,709.79