Finding the Third Proportional to 65,194.50 and 157,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,194.50 : 157,003.50 = 157,003.50 : x
2. Step 2: Convert to fraction form
   65,194.50/157,003.50 = 157,003.50/x
3. Step 3: Cross multiply
   65,194.50x = 157,003.50 × 157,003.50
4. Step 4: Simplify right side
   65,194.50x = 24,650,099,012.25
5. Step 5: Solve for x
   x = 24,650,099,012.25/65,194.50
6. Step 6: Final answer
   x = 378,100.90