Finding the Third Proportional to 97,625.50 and 213,152

Step by Step Solution

1. Step 1: Write the proportion equation
   97,625.50 : 213,152 = 213,152 : x
2. Step 2: Convert to fraction form
   97,625.50/213,152 = 213,152/x
3. Step 3: Cross multiply
   97,625.50x = 213,152 × 213,152
4. Step 4: Simplify right side
   97,625.50x = 45,433,775,104
5. Step 5: Solve for x
   x = 45,433,775,104/97,625.50
6. Step 6: Final answer
   x = 465,388.40