Finding the Third Proportional to 142,114.50 and 205,314

Step by Step Solution

1. Step 1: Write the proportion equation
   142,114.50 : 205,314 = 205,314 : x
2. Step 2: Convert to fraction form
   142,114.50/205,314 = 205,314/x
3. Step 3: Cross multiply
   142,114.50x = 205,314 × 205,314
4. Step 4: Simplify right side
   142,114.50x = 42,153,838,596
5. Step 5: Solve for x
   x = 42,153,838,596/142,114.50
6. Step 6: Final answer
   x = 296,618.84