Finding the Third Proportional to 138,064 and 205,152

Step by Step Solution

1. Step 1: Write the proportion equation
   138,064 : 205,152 = 205,152 : x
2. Step 2: Convert to fraction form
   138,064/205,152 = 205,152/x
3. Step 3: Cross multiply
   138,064x = 205,152 × 205,152
4. Step 4: Simplify right side
   138,064x = 42,087,343,104
5. Step 5: Solve for x
   x = 42,087,343,104/138,064
6. Step 6: Final answer
   x = 304,839.37