Finding the Third Proportional to 97,576.50 and 209,706

Step by Step Solution

1. Step 1: Write the proportion equation
   97,576.50 : 209,706 = 209,706 : x
2. Step 2: Convert to fraction form
   97,576.50/209,706 = 209,706/x
3. Step 3: Cross multiply
   97,576.50x = 209,706 × 209,706
4. Step 4: Simplify right side
   97,576.50x = 43,976,606,436
5. Step 5: Solve for x
   x = 43,976,606,436/97,576.50
6. Step 6: Final answer
   x = 450,688.50