Finding the Third Proportional to 146,772 and 314,280

Step by Step Solution

1. Step 1: Write the proportion equation
   146,772 : 314,280 = 314,280 : x
2. Step 2: Convert to fraction form
   146,772/314,280 = 314,280/x
3. Step 3: Cross multiply
   146,772x = 314,280 × 314,280
4. Step 4: Simplify right side
   146,772x = 98,771,918,400
5. Step 5: Solve for x
   x = 98,771,918,400/146,772
6. Step 6: Final answer
   x = 672,961.59