Finding the Third Proportional to 142,776 and 296,784

Step by Step Solution

1. Step 1: Write the proportion equation
   142,776 : 296,784 = 296,784 : x
2. Step 2: Convert to fraction form
   142,776/296,784 = 296,784/x
3. Step 3: Cross multiply
   142,776x = 296,784 × 296,784
4. Step 4: Simplify right side
   142,776x = 88,080,742,656
5. Step 5: Solve for x
   x = 88,080,742,656/142,776
6. Step 6: Final answer
   x = 616,915.61