Finding the Third Proportional to 137,088 and 204,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,088 : 204,493.50 = 204,493.50 : x
2. Step 2: Convert to fraction form
   137,088/204,493.50 = 204,493.50/x
3. Step 3: Cross multiply
   137,088x = 204,493.50 × 204,493.50
4. Step 4: Simplify right side
   137,088x = 41,817,591,542.25
5. Step 5: Solve for x
   x = 41,817,591,542.25/137,088
6. Step 6: Final answer
   x = 305,041.96