Finding the Third Proportional to 137,064 and 205,595.25

Step by Step Solution

1. Step 1: Write the proportion equation
   137,064 : 205,595.25 = 205,595.25 : x
2. Step 2: Convert to fraction form
   137,064/205,595.25 = 205,595.25/x
3. Step 3: Cross multiply
   137,064x = 205,595.25 × 205,595.25
4. Step 4: Simplify right side
   137,064x = 42,269,406,822.56
5. Step 5: Solve for x
   x = 42,269,406,822.56/137,064
6. Step 6: Final answer
   x = 308,391.75