Finding the Third Proportional to 65,837.25 and 142,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,837.25 : 142,123.50 = 142,123.50 : x
2. Step 2: Convert to fraction form
   65,837.25/142,123.50 = 142,123.50/x
3. Step 3: Cross multiply
   65,837.25x = 142,123.50 × 142,123.50
4. Step 4: Simplify right side
   65,837.25x = 20,199,089,252.25
5. Step 5: Solve for x
   x = 20,199,089,252.25/65,837.25
6. Step 6: Final answer
   x = 306,803.36