Finding the Third Proportional to 147,520 and 314,344

Step by Step Solution

1. Step 1: Write the proportion equation
   147,520 : 314,344 = 314,344 : x
2. Step 2: Convert to fraction form
   147,520/314,344 = 314,344/x
3. Step 3: Cross multiply
   147,520x = 314,344 × 314,344
4. Step 4: Simplify right side
   147,520x = 98,812,150,336
5. Step 5: Solve for x
   x = 98,812,150,336/147,520
6. Step 6: Final answer
   x = 669,822.06