Finding the Third Proportional to 104,164.50 and 157,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   104,164.50 : 157,705.50 = 157,705.50 : x
2. Step 2: Convert to fraction form
   104,164.50/157,705.50 = 157,705.50/x
3. Step 3: Cross multiply
   104,164.50x = 157,705.50 × 157,705.50
4. Step 4: Simplify right side
   104,164.50x = 24,871,024,730.25
5. Step 5: Solve for x
   x = 24,871,024,730.25/104,164.50
6. Step 6: Final answer
   x = 238,766.80