Finding the Third Proportional to 100,137.50 and 214,490

Step by Step Solution

1. Step 1: Write the proportion equation
   100,137.50 : 214,490 = 214,490 : x
2. Step 2: Convert to fraction form
   100,137.50/214,490 = 214,490/x
3. Step 3: Cross multiply
   100,137.50x = 214,490 × 214,490
4. Step 4: Simplify right side
   100,137.50x = 46,005,960,100
5. Step 5: Solve for x
   x = 46,005,960,100/100,137.50
6. Step 6: Final answer
   x = 459,427.89