Finding the Third Proportional to 137,970 and 213,637.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,970 : 213,637.50 = 213,637.50 : x
2. Step 2: Convert to fraction form
   137,970/213,637.50 = 213,637.50/x
3. Step 3: Cross multiply
   137,970x = 213,637.50 × 213,637.50
4. Step 4: Simplify right side
   137,970x = 45,640,981,406.25
5. Step 5: Solve for x
   x = 45,640,981,406.25/137,970
6. Step 6: Final answer
   x = 330,803.66