Finding the Third Proportional to 97,142 and 209,046.25

Step by Step Solution

1. Step 1: Write the proportion equation
   97,142 : 209,046.25 = 209,046.25 : x
2. Step 2: Convert to fraction form
   97,142/209,046.25 = 209,046.25/x
3. Step 3: Cross multiply
   97,142x = 209,046.25 × 209,046.25
4. Step 4: Simplify right side
   97,142x = 43,700,334,639.06
5. Step 5: Solve for x
   x = 43,700,334,639.06/97,142
6. Step 6: Final answer
   x = 449,860.36