Finding the Third Proportional to 65,147.63 and 142,762.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,147.63 : 142,762.50 = 142,762.50 : x
2. Step 2: Convert to fraction form
   65,147.63/142,762.50 = 142,762.50/x
3. Step 3: Cross multiply
   65,147.63x = 142,762.50 × 142,762.50
4. Step 4: Simplify right side
   65,147.63x = 20,381,131,406.25
5. Step 5: Solve for x
   x = 20,381,131,406.25/65,147.63
6. Step 6: Final answer
   x = 312,845.35