Finding the Third Proportional to 65,767.50 and 142,045.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,767.50 : 142,045.50 = 142,045.50 : x
2. Step 2: Convert to fraction form
   65,767.50/142,045.50 = 142,045.50/x
3. Step 3: Cross multiply
   65,767.50x = 142,045.50 × 142,045.50
4. Step 4: Simplify right side
   65,767.50x = 20,176,924,070.25
5. Step 5: Solve for x
   x = 20,176,924,070.25/65,767.50
6. Step 6: Final answer
   x = 306,791.71