Finding the Third Proportional to 137,460 and 289,674

Step by Step Solution

1. Step 1: Write the proportion equation
   137,460 : 289,674 = 289,674 : x
2. Step 2: Convert to fraction form
   137,460/289,674 = 289,674/x
3. Step 3: Cross multiply
   137,460x = 289,674 × 289,674
4. Step 4: Simplify right side
   137,460x = 83,911,026,276
5. Step 5: Solve for x
   x = 83,911,026,276/137,460
6. Step 6: Final answer
   x = 610,439.59