Finding the Third Proportional to 65,110.50 and 142,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,110.50 : 142,705.50 = 142,705.50 : x
2. Step 2: Convert to fraction form
   65,110.50/142,705.50 = 142,705.50/x
3. Step 3: Cross multiply
   65,110.50x = 142,705.50 × 142,705.50
4. Step 4: Simplify right side
   65,110.50x = 20,364,859,730.25
5. Step 5: Solve for x
   x = 20,364,859,730.25/65,110.50
6. Step 6: Final answer
   x = 312,773.82