Finding the Third Proportional to 97,652.25 and 214,002

Step by Step Solution

1. Step 1: Write the proportion equation
   97,652.25 : 214,002 = 214,002 : x
2. Step 2: Convert to fraction form
   97,652.25/214,002 = 214,002/x
3. Step 3: Cross multiply
   97,652.25x = 214,002 × 214,002
4. Step 4: Simplify right side
   97,652.25x = 45,796,856,004
5. Step 5: Solve for x
   x = 45,796,856,004/97,652.25
6. Step 6: Final answer
   x = 468,979.01