Finding the Third Proportional to 137,017.50 and 204,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,017.50 : 204,967.50 = 204,967.50 : x
2. Step 2: Convert to fraction form
   137,017.50/204,967.50 = 204,967.50/x
3. Step 3: Cross multiply
   137,017.50x = 204,967.50 × 204,967.50
4. Step 4: Simplify right side
   137,017.50x = 42,011,676,056.25
5. Step 5: Solve for x
   x = 42,011,676,056.25/137,017.50
6. Step 6: Final answer
   x = 306,615.40