Finding the Third Proportional to 137,767.50 and 210,726

Step by Step Solution

1. Step 1: Write the proportion equation
   137,767.50 : 210,726 = 210,726 : x
2. Step 2: Convert to fraction form
   137,767.50/210,726 = 210,726/x
3. Step 3: Cross multiply
   137,767.50x = 210,726 × 210,726
4. Step 4: Simplify right side
   137,767.50x = 44,405,447,076
5. Step 5: Solve for x
   x = 44,405,447,076/137,767.50
6. Step 6: Final answer
   x = 322,321.64