Finding the Third Proportional to 147,792 and 316,584

Step by Step Solution

1. Step 1: Write the proportion equation
   147,792 : 316,584 = 316,584 : x
2. Step 2: Convert to fraction form
   147,792/316,584 = 316,584/x
3. Step 3: Cross multiply
   147,792x = 316,584 × 316,584
4. Step 4: Simplify right side
   147,792x = 100,225,429,056
5. Step 5: Solve for x
   x = 100,225,429,056/147,792
6. Step 6: Final answer
   x = 678,151.92