Finding the Third Proportional to 137,432 and 298,364

Step by Step Solution

1. Step 1: Write the proportion equation
   137,432 : 298,364 = 298,364 : x
2. Step 2: Convert to fraction form
   137,432/298,364 = 298,364/x
3. Step 3: Cross multiply
   137,432x = 298,364 × 298,364
4. Step 4: Simplify right side
   137,432x = 89,021,076,496
5. Step 5: Solve for x
   x = 89,021,076,496/137,432
6. Step 6: Final answer
   x = 647,746.35