Finding the Third Proportional to 97,188 and 158,699.25

Step by Step Solution

1. Step 1: Write the proportion equation
   97,188 : 158,699.25 = 158,699.25 : x
2. Step 2: Convert to fraction form
   97,188/158,699.25 = 158,699.25/x
3. Step 3: Cross multiply
   97,188x = 158,699.25 × 158,699.25
4. Step 4: Simplify right side
   97,188x = 25,185,451,950.56
5. Step 5: Solve for x
   x = 25,185,451,950.56/97,188
6. Step 6: Final answer
   x = 259,141.58