Finding the Third Proportional to 65,748 and 142,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,748 : 142,006.50 = 142,006.50 : x
2. Step 2: Convert to fraction form
   65,748/142,006.50 = 142,006.50/x
3. Step 3: Cross multiply
   65,748x = 142,006.50 × 142,006.50
4. Step 4: Simplify right side
   65,748x = 20,165,846,042.25
5. Step 5: Solve for x
   x = 20,165,846,042.25/65,748
6. Step 6: Final answer
   x = 306,714.21