Finding the Third Proportional to 65,700 and 136,066.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,700 : 136,066.50 = 136,066.50 : x
2. Step 2: Convert to fraction form
   65,700/136,066.50 = 136,066.50/x
3. Step 3: Cross multiply
   65,700x = 136,066.50 × 136,066.50
4. Step 4: Simplify right side
   65,700x = 18,514,092,422.25
5. Step 5: Solve for x
   x = 18,514,092,422.25/65,700
6. Step 6: Final answer
   x = 281,797.45