Finding the Third Proportional to 137,664 and 200,503.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,664 : 200,503.50 = 200,503.50 : x
2. Step 2: Convert to fraction form
   137,664/200,503.50 = 200,503.50/x
3. Step 3: Cross multiply
   137,664x = 200,503.50 × 200,503.50
4. Step 4: Simplify right side
   137,664x = 40,201,653,512.25
5. Step 5: Solve for x
   x = 40,201,653,512.25/137,664
6. Step 6: Final answer
   x = 292,027.35