Finding the Third Proportional to 138,068 and 205,158

Step by Step Solution

1. Step 1: Write the proportion equation
   138,068 : 205,158 = 205,158 : x
2. Step 2: Convert to fraction form
   138,068/205,158 = 205,158/x
3. Step 3: Cross multiply
   138,068x = 205,158 × 205,158
4. Step 4: Simplify right side
   138,068x = 42,089,804,964
5. Step 5: Solve for x
   x = 42,089,804,964/138,068
6. Step 6: Final answer
   x = 304,848.37