Finding the Third Proportional to 142,470 and 307,776

Step by Step Solution

1. Step 1: Write the proportion equation
   142,470 : 307,776 = 307,776 : x
2. Step 2: Convert to fraction form
   142,470/307,776 = 307,776/x
3. Step 3: Cross multiply
   142,470x = 307,776 × 307,776
4. Step 4: Simplify right side
   142,470x = 94,726,066,176
5. Step 5: Solve for x
   x = 94,726,066,176/142,470
6. Step 6: Final answer
   x = 664,884.30