Finding the Third Proportional to 146,060 and 314,296

Step by Step Solution

1. Step 1: Write the proportion equation
   146,060 : 314,296 = 314,296 : x
2. Step 2: Convert to fraction form
   146,060/314,296 = 314,296/x
3. Step 3: Cross multiply
   146,060x = 314,296 × 314,296
4. Step 4: Simplify right side
   146,060x = 98,781,975,616
5. Step 5: Solve for x
   x = 98,781,975,616/146,060
6. Step 6: Final answer
   x = 676,310.94