Finding the Third Proportional to 65,776 and 142,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,776 : 142,077.50 = 142,077.50 : x
2. Step 2: Convert to fraction form
   65,776/142,077.50 = 142,077.50/x
3. Step 3: Cross multiply
   65,776x = 142,077.50 × 142,077.50
4. Step 4: Simplify right side
   65,776x = 20,186,016,006.25
5. Step 5: Solve for x
   x = 20,186,016,006.25/65,776
6. Step 6: Final answer
   x = 306,890.29