Finding the Third Proportional to 137,918 and 210,888.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,918 : 210,888.50 = 210,888.50 : x
2. Step 2: Convert to fraction form
   137,918/210,888.50 = 210,888.50/x
3. Step 3: Cross multiply
   137,918x = 210,888.50 × 210,888.50
4. Step 4: Simplify right side
   137,918x = 44,473,959,432.25
5. Step 5: Solve for x
   x = 44,473,959,432.25/137,918
6. Step 6: Final answer
   x = 322,466.68