Finding the Third Proportional to 97,191.50 and 158,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   97,191.50 : 158,705.50 = 158,705.50 : x
2. Step 2: Convert to fraction form
   97,191.50/158,705.50 = 158,705.50/x
3. Step 3: Cross multiply
   97,191.50x = 158,705.50 × 158,705.50
4. Step 4: Simplify right side
   97,191.50x = 25,187,435,730.25
5. Step 5: Solve for x
   x = 25,187,435,730.25/97,191.50
6. Step 6: Final answer
   x = 259,152.66